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Finding the Fourth Proportional to 1,146.20, 1,719.30 and 781.70

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Solution

The fourth proportional to 1,146.20, 1,719.30 and 781.70 is: 1,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.20 : 1,719.30 = 781.70 : x
  2. Step 2: Convert to fraction form
    1,146.20/1,719.30 = 781.70/x
  3. Step 3: Cross multiply
    1,146.20x = 1,719.30 × 781.70
  4. Step 4: Simplify right side
    1,146.20x = 1,343,976.81
  5. Step 5: Solve for x
    x = 1,343,976.81/1,146.20
  6. Step 6: Final answer
    x = 1,172.55

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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.