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Finding the Fourth Proportional to 1,001.24, 1,381.14 and 628.12

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Solution

The fourth proportional to 1,001.24, 1,381.14 and 628.12 is: 866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.24 : 1,381.14 = 628.12 : x
  2. Step 2: Convert to fraction form
    1,001.24/1,381.14 = 628.12/x
  3. Step 3: Cross multiply
    1,001.24x = 1,381.14 × 628.12
  4. Step 4: Simplify right side
    1,001.24x = 867,521.66
  5. Step 5: Solve for x
    x = 867,521.66/1,001.24
  6. Step 6: Final answer
    x = 866.45

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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.