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Finding the Fourth Proportional to 895.12, 1,235.20 and 522.12

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Solution

The fourth proportional to 895.12, 1,235.20 and 522.12 is: 720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.12 : 1,235.20 = 522.12 : x
  2. Step 2: Convert to fraction form
    895.12/1,235.20 = 522.12/x
  3. Step 3: Cross multiply
    895.12x = 1,235.20 × 522.12
  4. Step 4: Simplify right side
    895.12x = 644,922.62
  5. Step 5: Solve for x
    x = 644,922.62/895.12
  6. Step 6: Final answer
    x = 720.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.