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Finding the Fourth Proportional to 675.74, 1,013.57 and 398.25

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Solution

The fourth proportional to 675.74, 1,013.57 and 398.25 is: 597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.74 : 1,013.57 = 398.25 : x
  2. Step 2: Convert to fraction form
    675.74/1,013.57 = 398.25/x
  3. Step 3: Cross multiply
    675.74x = 1,013.57 × 398.25
  4. Step 4: Simplify right side
    675.74x = 403,654.25
  5. Step 5: Solve for x
    x = 403,654.25/675.74
  6. Step 6: Final answer
    x = 597.35

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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.