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Finding the Fourth Proportional to 972.86, 1,342.17 and 599.19

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Solution

The fourth proportional to 972.86, 1,342.17 and 599.19 is: 826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,342.17 = 599.19 : x
  2. Step 2: Convert to fraction form
    972.86/1,342.17 = 599.19/x
  3. Step 3: Cross multiply
    972.86x = 1,342.17 × 599.19
  4. Step 4: Simplify right side
    972.86x = 804,211.85
  5. Step 5: Solve for x
    x = 804,211.85/972.86
  6. Step 6: Final answer
    x = 826.65

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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.