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Finding the Fourth Proportional to 1,440.46, 2,159.29 and 781.74

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Solution

The fourth proportional to 1,440.46, 2,159.29 and 781.74 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.46 : 2,159.29 = 781.74 : x
  2. Step 2: Convert to fraction form
    1,440.46/2,159.29 = 781.74/x
  3. Step 3: Cross multiply
    1,440.46x = 2,159.29 × 781.74
  4. Step 4: Simplify right side
    1,440.46x = 1,688,008.76
  5. Step 5: Solve for x
    x = 1,688,008.76/1,440.46
  6. Step 6: Final answer
    x = 1,171.85

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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.