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Finding the Fourth Proportional to 743.10, 1,025.24 and 432.60

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Solution

The fourth proportional to 743.10, 1,025.24 and 432.60 is: 596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.10 : 1,025.24 = 432.60 : x
  2. Step 2: Convert to fraction form
    743.10/1,025.24 = 432.60/x
  3. Step 3: Cross multiply
    743.10x = 1,025.24 × 432.60
  4. Step 4: Simplify right side
    743.10x = 443,518.82
  5. Step 5: Solve for x
    x = 443,518.82/743.10
  6. Step 6: Final answer
    x = 596.85

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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.