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Finding the Fourth Proportional to 737.82, 1,017.78 and 457.95

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Solution

The fourth proportional to 737.82, 1,017.78 and 457.95 is: 631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.82 : 1,017.78 = 457.95 : x
  2. Step 2: Convert to fraction form
    737.82/1,017.78 = 457.95/x
  3. Step 3: Cross multiply
    737.82x = 1,017.78 × 457.95
  4. Step 4: Simplify right side
    737.82x = 466,092.35
  5. Step 5: Solve for x
    x = 466,092.35/737.82
  6. Step 6: Final answer
    x = 631.72

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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.