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Finding the Fourth Proportional to 1,060.26, 1,463.16 and 594.52

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Solution

The fourth proportional to 1,060.26, 1,463.16 and 594.52 is: 820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.26 : 1,463.16 = 594.52 : x
  2. Step 2: Convert to fraction form
    1,060.26/1,463.16 = 594.52/x
  3. Step 3: Cross multiply
    1,060.26x = 1,463.16 × 594.52
  4. Step 4: Simplify right side
    1,060.26x = 869,877.88
  5. Step 5: Solve for x
    x = 869,877.88/1,060.26
  6. Step 6: Final answer
    x = 820.44

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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.