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Finding the Fourth Proportional to 1,062.78, 1,594.68 and 549.78

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Solution

The fourth proportional to 1,062.78, 1,594.68 and 549.78 is: 824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.78 : 1,594.68 = 549.78 : x
  2. Step 2: Convert to fraction form
    1,062.78/1,594.68 = 549.78/x
  3. Step 3: Cross multiply
    1,062.78x = 1,594.68 × 549.78
  4. Step 4: Simplify right side
    1,062.78x = 876,723.17
  5. Step 5: Solve for x
    x = 876,723.17/1,062.78
  6. Step 6: Final answer
    x = 824.93

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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.