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Finding the Fourth Proportional to 946.47, 1,306.35 and 631.74

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Solution

The fourth proportional to 946.47, 1,306.35 and 631.74 is: 871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.47 : 1,306.35 = 631.74 : x
  2. Step 2: Convert to fraction form
    946.47/1,306.35 = 631.74/x
  3. Step 3: Cross multiply
    946.47x = 1,306.35 × 631.74
  4. Step 4: Simplify right side
    946.47x = 825,273.55
  5. Step 5: Solve for x
    x = 825,273.55/946.47
  6. Step 6: Final answer
    x = 871.95

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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.