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Finding the Fourth Proportional to 932.05, 1,285.85 and 559.07

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Solution

The fourth proportional to 932.05, 1,285.85 and 559.07 is: 771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.05 : 1,285.85 = 559.07 : x
  2. Step 2: Convert to fraction form
    932.05/1,285.85 = 559.07/x
  3. Step 3: Cross multiply
    932.05x = 1,285.85 × 559.07
  4. Step 4: Simplify right side
    932.05x = 718,879.95
  5. Step 5: Solve for x
    x = 718,879.95/932.05
  6. Step 6: Final answer
    x = 771.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.