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Finding the Fourth Proportional to 1,774.73, 2,662.25 and 542.15

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Solution

The fourth proportional to 1,774.73, 2,662.25 and 542.15 is: 813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.73 : 2,662.25 = 542.15 : x
  2. Step 2: Convert to fraction form
    1,774.73/2,662.25 = 542.15/x
  3. Step 3: Cross multiply
    1,774.73x = 2,662.25 × 542.15
  4. Step 4: Simplify right side
    1,774.73x = 1,443,322.82
  5. Step 5: Solve for x
    x = 1,443,322.82/1,774.73
  6. Step 6: Final answer
    x = 813.27

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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.