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Finding the Fourth Proportional to 1,037.70, 1,432.02 and 565.59

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Solution

The fourth proportional to 1,037.70, 1,432.02 and 565.59 is: 780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.70 : 1,432.02 = 565.59 : x
  2. Step 2: Convert to fraction form
    1,037.70/1,432.02 = 565.59/x
  3. Step 3: Cross multiply
    1,037.70x = 1,432.02 × 565.59
  4. Step 4: Simplify right side
    1,037.70x = 809,936.19
  5. Step 5: Solve for x
    x = 809,936.19/1,037.70
  6. Step 6: Final answer
    x = 780.51

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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.