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Finding the Fourth Proportional to 731.05, 1,097.03 and 457.67

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Solution

The fourth proportional to 731.05, 1,097.03 and 457.67 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.05 : 1,097.03 = 457.67 : x
  2. Step 2: Convert to fraction form
    731.05/1,097.03 = 457.67/x
  3. Step 3: Cross multiply
    731.05x = 1,097.03 × 457.67
  4. Step 4: Simplify right side
    731.05x = 502,079.89
  5. Step 5: Solve for x
    x = 502,079.89/731.05
  6. Step 6: Final answer
    x = 686.80

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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.