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Finding the Fourth Proportional to 732.95, 1,099.77 and 458.89

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Solution

The fourth proportional to 732.95, 1,099.77 and 458.89 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.95 : 1,099.77 = 458.89 : x
  2. Step 2: Convert to fraction form
    732.95/1,099.77 = 458.89/x
  3. Step 3: Cross multiply
    732.95x = 1,099.77 × 458.89
  4. Step 4: Simplify right side
    732.95x = 504,668.99
  5. Step 5: Solve for x
    x = 504,668.99/732.95
  6. Step 6: Final answer
    x = 688.55

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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.