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Finding the Fourth Proportional to 1,017, 1,400.37 and 869.31

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Solution

The fourth proportional to 1,017, 1,400.37 and 869.31 is: 1,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017 : 1,400.37 = 869.31 : x
  2. Step 2: Convert to fraction form
    1,017/1,400.37 = 869.31/x
  3. Step 3: Cross multiply
    1,017x = 1,400.37 × 869.31
  4. Step 4: Simplify right side
    1,017x = 1,217,355.64
  5. Step 5: Solve for x
    x = 1,217,355.64/1,017
  6. Step 6: Final answer
    x = 1,197.01

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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.