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Finding the Fourth Proportional to 925.53, 1,275.87 and 704.10

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Solution

The fourth proportional to 925.53, 1,275.87 and 704.10 is: 970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.53 : 1,275.87 = 704.10 : x
  2. Step 2: Convert to fraction form
    925.53/1,275.87 = 704.10/x
  3. Step 3: Cross multiply
    925.53x = 1,275.87 × 704.10
  4. Step 4: Simplify right side
    925.53x = 898,340.07
  5. Step 5: Solve for x
    x = 898,340.07/925.53
  6. Step 6: Final answer
    x = 970.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.