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Finding the Fourth Proportional to 751.83, 1,037.42 and 432.78

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Solution

The fourth proportional to 751.83, 1,037.42 and 432.78 is: 597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.83 : 1,037.42 = 432.78 : x
  2. Step 2: Convert to fraction form
    751.83/1,037.42 = 432.78/x
  3. Step 3: Cross multiply
    751.83x = 1,037.42 × 432.78
  4. Step 4: Simplify right side
    751.83x = 448,972.46
  5. Step 5: Solve for x
    x = 448,972.46/751.83
  6. Step 6: Final answer
    x = 597.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.