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Finding the Fourth Proportional to 895.24, 1,341.34 and 433.24

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Solution

The fourth proportional to 895.24, 1,341.34 and 433.24 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.24 : 1,341.34 = 433.24 : x
  2. Step 2: Convert to fraction form
    895.24/1,341.34 = 433.24/x
  3. Step 3: Cross multiply
    895.24x = 1,341.34 × 433.24
  4. Step 4: Simplify right side
    895.24x = 581,122.14
  5. Step 5: Solve for x
    x = 581,122.14/895.24
  6. Step 6: Final answer
    x = 649.12

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.