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Finding the Fourth Proportional to 1,645.47, 2,468.51 and 631.14

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Solution

The fourth proportional to 1,645.47, 2,468.51 and 631.14 is: 946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.47 : 2,468.51 = 631.14 : x
  2. Step 2: Convert to fraction form
    1,645.47/2,468.51 = 631.14/x
  3. Step 3: Cross multiply
    1,645.47x = 2,468.51 × 631.14
  4. Step 4: Simplify right side
    1,645.47x = 1,557,972.25
  5. Step 5: Solve for x
    x = 1,557,972.25/1,645.47
  6. Step 6: Final answer
    x = 946.83

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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.