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Finding the Fourth Proportional to 737.48, 1,017.30 and 461

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Solution

The fourth proportional to 737.48, 1,017.30 and 461 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.48 : 1,017.30 = 461 : x
  2. Step 2: Convert to fraction form
    737.48/1,017.30 = 461/x
  3. Step 3: Cross multiply
    737.48x = 1,017.30 × 461
  4. Step 4: Simplify right side
    737.48x = 468,975.30
  5. Step 5: Solve for x
    x = 468,975.30/737.48
  6. Step 6: Final answer
    x = 635.92

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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.