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Finding the Fourth Proportional to 1,037.79, 1,432.18 and 565.70

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Solution

The fourth proportional to 1,037.79, 1,432.18 and 565.70 is: 780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.79 : 1,432.18 = 565.70 : x
  2. Step 2: Convert to fraction form
    1,037.79/1,432.18 = 565.70/x
  3. Step 3: Cross multiply
    1,037.79x = 1,432.18 × 565.70
  4. Step 4: Simplify right side
    1,037.79x = 810,185.64
  5. Step 5: Solve for x
    x = 810,185.64/1,037.79
  6. Step 6: Final answer
    x = 780.68

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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.