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Finding the Fourth Proportional to 942, 1,414.62 and 856.14

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Solution

The fourth proportional to 942, 1,414.62 and 856.14 is: 1,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942 : 1,414.62 = 856.14 : x
  2. Step 2: Convert to fraction form
    942/1,414.62 = 856.14/x
  3. Step 3: Cross multiply
    942x = 1,414.62 × 856.14
  4. Step 4: Simplify right side
    942x = 1,211,112.77
  5. Step 5: Solve for x
    x = 1,211,112.77/942
  6. Step 6: Final answer
    x = 1,285.68

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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.