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Finding the Fourth Proportional to 1,049.35, 1,572.85 and 432.31

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Solution

The fourth proportional to 1,049.35, 1,572.85 and 432.31 is: 647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.35 : 1,572.85 = 432.31 : x
  2. Step 2: Convert to fraction form
    1,049.35/1,572.85 = 432.31/x
  3. Step 3: Cross multiply
    1,049.35x = 1,572.85 × 432.31
  4. Step 4: Simplify right side
    1,049.35x = 679,958.78
  5. Step 5: Solve for x
    x = 679,958.78/1,049.35
  6. Step 6: Final answer
    x = 647.98

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