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Finding the Fourth Proportional to 1,037.99, 1,432.42 and 565.88

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Solution

The fourth proportional to 1,037.99, 1,432.42 and 565.88 is: 780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.99 : 1,432.42 = 565.88 : x
  2. Step 2: Convert to fraction form
    1,037.99/1,432.42 = 565.88/x
  3. Step 3: Cross multiply
    1,037.99x = 1,432.42 × 565.88
  4. Step 4: Simplify right side
    1,037.99x = 810,569.25
  5. Step 5: Solve for x
    x = 810,569.25/1,037.99
  6. Step 6: Final answer
    x = 780.90

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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.