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Finding the Fourth Proportional to 1,060.30, 1,463.28 and 594.54

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Solution

The fourth proportional to 1,060.30, 1,463.28 and 594.54 is: 820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.30 : 1,463.28 = 594.54 : x
  2. Step 2: Convert to fraction form
    1,060.30/1,463.28 = 594.54/x
  3. Step 3: Cross multiply
    1,060.30x = 1,463.28 × 594.54
  4. Step 4: Simplify right side
    1,060.30x = 869,978.49
  5. Step 5: Solve for x
    x = 869,978.49/1,060.30
  6. Step 6: Final answer
    x = 820.50

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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.