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Finding the Fourth Proportional to 1,481.53, 2,219.86 and 507.10

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Solution

The fourth proportional to 1,481.53, 2,219.86 and 507.10 is: 759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.53 : 2,219.86 = 507.10 : x
  2. Step 2: Convert to fraction form
    1,481.53/2,219.86 = 507.10/x
  3. Step 3: Cross multiply
    1,481.53x = 2,219.86 × 507.10
  4. Step 4: Simplify right side
    1,481.53x = 1,125,691.01
  5. Step 5: Solve for x
    x = 1,125,691.01/1,481.53
  6. Step 6: Final answer
    x = 759.82

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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.