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Finding the Fourth Proportional to 953.87, 1,316.24 and 560.81

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Solution

The fourth proportional to 953.87, 1,316.24 and 560.81 is: 773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.87 : 1,316.24 = 560.81 : x
  2. Step 2: Convert to fraction form
    953.87/1,316.24 = 560.81/x
  3. Step 3: Cross multiply
    953.87x = 1,316.24 × 560.81
  4. Step 4: Simplify right side
    953.87x = 738,151.17
  5. Step 5: Solve for x
    x = 738,151.17/953.87
  6. Step 6: Final answer
    x = 773.85

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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.