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Finding the Fourth Proportional to 942, 1,414.84 and 797.02

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Solution

The fourth proportional to 942, 1,414.84 and 797.02 is: 1,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    942 : 1,414.84 = 797.02 : x
  2. Step 2: Convert to fraction form
    942/1,414.84 = 797.02/x
  3. Step 3: Cross multiply
    942x = 1,414.84 × 797.02
  4. Step 4: Simplify right side
    942x = 1,127,655.78
  5. Step 5: Solve for x
    x = 1,127,655.78/942
  6. Step 6: Final answer
    x = 1,197.09

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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.