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Finding the Fourth Proportional to 1,097.47, 1,649.99 and 869.19

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Solution

The fourth proportional to 1,097.47, 1,649.99 and 869.19 is: 1,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.47 : 1,649.99 = 869.19 : x
  2. Step 2: Convert to fraction form
    1,097.47/1,649.99 = 869.19/x
  3. Step 3: Cross multiply
    1,097.47x = 1,649.99 × 869.19
  4. Step 4: Simplify right side
    1,097.47x = 1,434,154.81
  5. Step 5: Solve for x
    x = 1,434,154.81/1,097.47
  6. Step 6: Final answer
    x = 1,306.78

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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.