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Finding the Fourth Proportional to 1,612.69, 2,419.12 and 458.53

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Solution

The fourth proportional to 1,612.69, 2,419.12 and 458.53 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.69 : 2,419.12 = 458.53 : x
  2. Step 2: Convert to fraction form
    1,612.69/2,419.12 = 458.53/x
  3. Step 3: Cross multiply
    1,612.69x = 2,419.12 × 458.53
  4. Step 4: Simplify right side
    1,612.69x = 1,109,233.62
  5. Step 5: Solve for x
    x = 1,109,233.62/1,612.69
  6. Step 6: Final answer
    x = 687.82

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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.