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Finding the Fourth Proportional to 1,274.71, 1,909.36 and 963.13

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Solution

The fourth proportional to 1,274.71, 1,909.36 and 963.13 is: 1,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.71 : 1,909.36 = 963.13 : x
  2. Step 2: Convert to fraction form
    1,274.71/1,909.36 = 963.13/x
  3. Step 3: Cross multiply
    1,274.71x = 1,909.36 × 963.13
  4. Step 4: Simplify right side
    1,274.71x = 1,838,954.72
  5. Step 5: Solve for x
    x = 1,838,954.72/1,274.71
  6. Step 6: Final answer
    x = 1,442.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.