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Finding the Fourth Proportional to 1,398.47, 2,097.99 and 474.68

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Solution

The fourth proportional to 1,398.47, 2,097.99 and 474.68 is: 712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.47 : 2,097.99 = 474.68 : x
  2. Step 2: Convert to fraction form
    1,398.47/2,097.99 = 474.68/x
  3. Step 3: Cross multiply
    1,398.47x = 2,097.99 × 474.68
  4. Step 4: Simplify right side
    1,398.47x = 995,863.40
  5. Step 5: Solve for x
    x = 995,863.40/1,398.47
  6. Step 6: Final answer
    x = 712.11

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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.