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Finding the Fourth Proportional to 1,242.90, 1,865.13 and 723.93

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Solution

The fourth proportional to 1,242.90, 1,865.13 and 723.93 is: 1,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.90 : 1,865.13 = 723.93 : x
  2. Step 2: Convert to fraction form
    1,242.90/1,865.13 = 723.93/x
  3. Step 3: Cross multiply
    1,242.90x = 1,865.13 × 723.93
  4. Step 4: Simplify right side
    1,242.90x = 1,350,223.56
  5. Step 5: Solve for x
    x = 1,350,223.56/1,242.90
  6. Step 6: Final answer
    x = 1,086.35

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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.