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Finding the Fourth Proportional to 1,242.18, 1,713.87 and 800.70

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Solution

The fourth proportional to 1,242.18, 1,713.87 and 800.70 is: 1,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.18 : 1,713.87 = 800.70 : x
  2. Step 2: Convert to fraction form
    1,242.18/1,713.87 = 800.70/x
  3. Step 3: Cross multiply
    1,242.18x = 1,713.87 × 800.70
  4. Step 4: Simplify right side
    1,242.18x = 1,372,295.71
  5. Step 5: Solve for x
    x = 1,372,295.71/1,242.18
  6. Step 6: Final answer
    x = 1,104.75

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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.