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Finding the Fourth Proportional to 713.74, 1,069.35 and 549.03

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Solution

The fourth proportional to 713.74, 1,069.35 and 549.03 is: 822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.74 : 1,069.35 = 549.03 : x
  2. Step 2: Convert to fraction form
    713.74/1,069.35 = 549.03/x
  3. Step 3: Cross multiply
    713.74x = 1,069.35 × 549.03
  4. Step 4: Simplify right side
    713.74x = 587,104.25
  5. Step 5: Solve for x
    x = 587,104.25/713.74
  6. Step 6: Final answer
    x = 822.58

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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.