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Finding the Fourth Proportional to 732.06, 1,098.40 and 407.06

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Solution

The fourth proportional to 732.06, 1,098.40 and 407.06 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.06 : 1,098.40 = 407.06 : x
  2. Step 2: Convert to fraction form
    732.06/1,098.40 = 407.06/x
  3. Step 3: Cross multiply
    732.06x = 1,098.40 × 407.06
  4. Step 4: Simplify right side
    732.06x = 447,114.70
  5. Step 5: Solve for x
    x = 447,114.70/732.06
  6. Step 6: Final answer
    x = 610.76

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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.