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Finding the Fourth Proportional to 616.74, 922.34 and 559.32

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Solution

The fourth proportional to 616.74, 922.34 and 559.32 is: 836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.74 : 922.34 = 559.32 : x
  2. Step 2: Convert to fraction form
    616.74/922.34 = 559.32/x
  3. Step 3: Cross multiply
    616.74x = 922.34 × 559.32
  4. Step 4: Simplify right side
    616.74x = 515,883.21
  5. Step 5: Solve for x
    x = 515,883.21/616.74
  6. Step 6: Final answer
    x = 836.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.