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Finding the Fourth Proportional to 751.31, 1,036.87 and 432.38

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Solution

The fourth proportional to 751.31, 1,036.87 and 432.38 is: 596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.31 : 1,036.87 = 432.38 : x
  2. Step 2: Convert to fraction form
    751.31/1,036.87 = 432.38/x
  3. Step 3: Cross multiply
    751.31x = 1,036.87 × 432.38
  4. Step 4: Simplify right side
    751.31x = 448,320.77
  5. Step 5: Solve for x
    x = 448,320.77/751.31
  6. Step 6: Final answer
    x = 596.72

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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.