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Finding the Fourth Proportional to 962.28, 1,325.57 and 912.87

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Solution

The fourth proportional to 962.28, 1,325.57 and 912.87 is: 1,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.28 : 1,325.57 = 912.87 : x
  2. Step 2: Convert to fraction form
    962.28/1,325.57 = 912.87/x
  3. Step 3: Cross multiply
    962.28x = 1,325.57 × 912.87
  4. Step 4: Simplify right side
    962.28x = 1,210,068.52
  5. Step 5: Solve for x
    x = 1,210,068.52/962.28
  6. Step 6: Final answer
    x = 1,257.50

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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.