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Finding the Fourth Proportional to 1,274.59, 1,909.18 and 963.01

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Solution

The fourth proportional to 1,274.59, 1,909.18 and 963.01 is: 1,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.59 : 1,909.18 = 963.01 : x
  2. Step 2: Convert to fraction form
    1,274.59/1,909.18 = 963.01/x
  3. Step 3: Cross multiply
    1,274.59x = 1,909.18 × 963.01
  4. Step 4: Simplify right side
    1,274.59x = 1,838,545.07
  5. Step 5: Solve for x
    x = 1,838,545.07/1,274.59
  6. Step 6: Final answer
    x = 1,442.47

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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.