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Finding the Fourth Proportional to 753.87, 1,132.39 and 461.51

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Solution

The fourth proportional to 753.87, 1,132.39 and 461.51 is: 693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.87 : 1,132.39 = 461.51 : x
  2. Step 2: Convert to fraction form
    753.87/1,132.39 = 461.51/x
  3. Step 3: Cross multiply
    753.87x = 1,132.39 × 461.51
  4. Step 4: Simplify right side
    753.87x = 522,603.65
  5. Step 5: Solve for x
    x = 522,603.65/753.87
  6. Step 6: Final answer
    x = 693.23

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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.