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Finding the Fourth Proportional to 975.30, 1,463.27 and 667.76

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Solution

The fourth proportional to 975.30, 1,463.27 and 667.76 is: 1,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.30 : 1,463.27 = 667.76 : x
  2. Step 2: Convert to fraction form
    975.30/1,463.27 = 667.76/x
  3. Step 3: Cross multiply
    975.30x = 1,463.27 × 667.76
  4. Step 4: Simplify right side
    975.30x = 977,102.52
  5. Step 5: Solve for x
    x = 977,102.52/975.30
  6. Step 6: Final answer
    x = 1,001.85

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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.