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Finding the Fourth Proportional to 693.08, 1,037.24 and 432.96

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Solution

The fourth proportional to 693.08, 1,037.24 and 432.96 is: 647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.08 : 1,037.24 = 432.96 : x
  2. Step 2: Convert to fraction form
    693.08/1,037.24 = 432.96/x
  3. Step 3: Cross multiply
    693.08x = 1,037.24 × 432.96
  4. Step 4: Simplify right side
    693.08x = 449,083.43
  5. Step 5: Solve for x
    x = 449,083.43/693.08
  6. Step 6: Final answer
    x = 647.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.