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Finding the Fourth Proportional to 1,044.31, 1,437.49 and 945.89

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Solution

The fourth proportional to 1,044.31, 1,437.49 and 945.89 is: 1,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.31 : 1,437.49 = 945.89 : x
  2. Step 2: Convert to fraction form
    1,044.31/1,437.49 = 945.89/x
  3. Step 3: Cross multiply
    1,044.31x = 1,437.49 × 945.89
  4. Step 4: Simplify right side
    1,044.31x = 1,359,712.19
  5. Step 5: Solve for x
    x = 1,359,712.19/1,044.31
  6. Step 6: Final answer
    x = 1,302.02

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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.