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Finding the Fourth Proportional to 1,003.91, 1,385.42 and 561.88

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Solution

The fourth proportional to 1,003.91, 1,385.42 and 561.88 is: 775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.91 : 1,385.42 = 561.88 : x
  2. Step 2: Convert to fraction form
    1,003.91/1,385.42 = 561.88/x
  3. Step 3: Cross multiply
    1,003.91x = 1,385.42 × 561.88
  4. Step 4: Simplify right side
    1,003.91x = 778,436.98
  5. Step 5: Solve for x
    x = 778,436.98/1,003.91
  6. Step 6: Final answer
    x = 775.41

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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.