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Finding the Fourth Proportional to 723.75, 1,083.54 and 549.40

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Solution

The fourth proportional to 723.75, 1,083.54 and 549.40 is: 822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.75 : 1,083.54 = 549.40 : x
  2. Step 2: Convert to fraction form
    723.75/1,083.54 = 549.40/x
  3. Step 3: Cross multiply
    723.75x = 1,083.54 × 549.40
  4. Step 4: Simplify right side
    723.75x = 595,296.88
  5. Step 5: Solve for x
    x = 595,296.88/723.75
  6. Step 6: Final answer
    x = 822.52

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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.