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Finding the Fourth Proportional to 751.86, 1,037.70 and 432.90

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Solution

The fourth proportional to 751.86, 1,037.70 and 432.90 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.86 : 1,037.70 = 432.90 : x
  2. Step 2: Convert to fraction form
    751.86/1,037.70 = 432.90/x
  3. Step 3: Cross multiply
    751.86x = 1,037.70 × 432.90
  4. Step 4: Simplify right side
    751.86x = 449,220.33
  5. Step 5: Solve for x
    x = 449,220.33/751.86
  6. Step 6: Final answer
    x = 597.48

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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.