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Finding the Fourth Proportional to 1,060.89, 1,591.78 and 513.48

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Solution

The fourth proportional to 1,060.89, 1,591.78 and 513.48 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.89 : 1,591.78 = 513.48 : x
  2. Step 2: Convert to fraction form
    1,060.89/1,591.78 = 513.48/x
  3. Step 3: Cross multiply
    1,060.89x = 1,591.78 × 513.48
  4. Step 4: Simplify right side
    1,060.89x = 817,347.19
  5. Step 5: Solve for x
    x = 817,347.19/1,060.89
  6. Step 6: Final answer
    x = 770.44

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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.