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Finding the Fourth Proportional to 870.93, 1,306.58 and 432.42

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Solution

The fourth proportional to 870.93, 1,306.58 and 432.42 is: 648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.93 : 1,306.58 = 432.42 : x
  2. Step 2: Convert to fraction form
    870.93/1,306.58 = 432.42/x
  3. Step 3: Cross multiply
    870.93x = 1,306.58 × 432.42
  4. Step 4: Simplify right side
    870.93x = 564,982.63
  5. Step 5: Solve for x
    x = 564,982.63/870.93
  6. Step 6: Final answer
    x = 648.72

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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.