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Finding the Fourth Proportional to 733.50, 1,097.51 and 458.30

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Solution

The fourth proportional to 733.50, 1,097.51 and 458.30 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,097.51 = 458.30 : x
  2. Step 2: Convert to fraction form
    733.50/1,097.51 = 458.30/x
  3. Step 3: Cross multiply
    733.50x = 1,097.51 × 458.30
  4. Step 4: Simplify right side
    733.50x = 502,989.29
  5. Step 5: Solve for x
    x = 502,989.29/733.50
  6. Step 6: Final answer
    x = 685.74

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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.