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Finding the Fourth Proportional to 732.79, 1,097.03 and 458.05

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Solution

The fourth proportional to 732.79, 1,097.03 and 458.05 is: 685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.79 : 1,097.03 = 458.05 : x
  2. Step 2: Convert to fraction form
    732.79/1,097.03 = 458.05/x
  3. Step 3: Cross multiply
    732.79x = 1,097.03 × 458.05
  4. Step 4: Simplify right side
    732.79x = 502,495.74
  5. Step 5: Solve for x
    x = 502,495.74/732.79
  6. Step 6: Final answer
    x = 685.73

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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.