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Finding the Fourth Proportional to 1,500.52, 2,251.06 and 460.62

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Solution

The fourth proportional to 1,500.52, 2,251.06 and 460.62 is: 691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.52 : 2,251.06 = 460.62 : x
  2. Step 2: Convert to fraction form
    1,500.52/2,251.06 = 460.62/x
  3. Step 3: Cross multiply
    1,500.52x = 2,251.06 × 460.62
  4. Step 4: Simplify right side
    1,500.52x = 1,036,883.26
  5. Step 5: Solve for x
    x = 1,036,883.26/1,500.52
  6. Step 6: Final answer
    x = 691.02

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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.