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Finding the Fourth Proportional to 1,017.49, 1,405.13 and 869.26

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Solution

The fourth proportional to 1,017.49, 1,405.13 and 869.26 is: 1,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.49 : 1,405.13 = 869.26 : x
  2. Step 2: Convert to fraction form
    1,017.49/1,405.13 = 869.26/x
  3. Step 3: Cross multiply
    1,017.49x = 1,405.13 × 869.26
  4. Step 4: Simplify right side
    1,017.49x = 1,221,423.30
  5. Step 5: Solve for x
    x = 1,221,423.30/1,017.49
  6. Step 6: Final answer
    x = 1,200.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.