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Finding the Fourth Proportional to 1,044.31, 1,441.19 and 651.13

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Solution

The fourth proportional to 1,044.31, 1,441.19 and 651.13 is: 898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.31 : 1,441.19 = 651.13 : x
  2. Step 2: Convert to fraction form
    1,044.31/1,441.19 = 651.13/x
  3. Step 3: Cross multiply
    1,044.31x = 1,441.19 × 651.13
  4. Step 4: Simplify right side
    1,044.31x = 938,402.04
  5. Step 5: Solve for x
    x = 938,402.04/1,044.31
  6. Step 6: Final answer
    x = 898.59

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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.