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Finding the Fourth Proportional to 732.53, 1,098.83 and 407.66

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Solution

The fourth proportional to 732.53, 1,098.83 and 407.66 is: 611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.53 : 1,098.83 = 407.66 : x
  2. Step 2: Convert to fraction form
    732.53/1,098.83 = 407.66/x
  3. Step 3: Cross multiply
    732.53x = 1,098.83 × 407.66
  4. Step 4: Simplify right side
    732.53x = 447,944.56
  5. Step 5: Solve for x
    x = 447,944.56/732.53
  6. Step 6: Final answer
    x = 611.50

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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.