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Finding the Fourth Proportional to 720.66, 1,082.08 and 500.74

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Solution

The fourth proportional to 720.66, 1,082.08 and 500.74 is: 751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.66 : 1,082.08 = 500.74 : x
  2. Step 2: Convert to fraction form
    720.66/1,082.08 = 500.74/x
  3. Step 3: Cross multiply
    720.66x = 1,082.08 × 500.74
  4. Step 4: Simplify right side
    720.66x = 541,840.74
  5. Step 5: Solve for x
    x = 541,840.74/720.66
  6. Step 6: Final answer
    x = 751.87

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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.