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Finding the Fourth Proportional to 718.35, 1,079.34 and 458.47

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Solution

The fourth proportional to 718.35, 1,079.34 and 458.47 is: 688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.35 : 1,079.34 = 458.47 : x
  2. Step 2: Convert to fraction form
    718.35/1,079.34 = 458.47/x
  3. Step 3: Cross multiply
    718.35x = 1,079.34 × 458.47
  4. Step 4: Simplify right side
    718.35x = 494,845.01
  5. Step 5: Solve for x
    x = 494,845.01/718.35
  6. Step 6: Final answer
    x = 688.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.