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Finding the Fourth Proportional to 1,299.56, 1,948.11 and 433.25

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Solution

The fourth proportional to 1,299.56, 1,948.11 and 433.25 is: 649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.56 : 1,948.11 = 433.25 : x
  2. Step 2: Convert to fraction form
    1,299.56/1,948.11 = 433.25/x
  3. Step 3: Cross multiply
    1,299.56x = 1,948.11 × 433.25
  4. Step 4: Simplify right side
    1,299.56x = 844,018.66
  5. Step 5: Solve for x
    x = 844,018.66/1,299.56
  6. Step 6: Final answer
    x = 649.46

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Half scale
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Double scale
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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.