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Finding the Fourth Proportional to 1,353.24, 1,868.94 and 912.96

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Solution

The fourth proportional to 1,353.24, 1,868.94 and 912.96 is: 1,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.24 : 1,868.94 = 912.96 : x
  2. Step 2: Convert to fraction form
    1,353.24/1,868.94 = 912.96/x
  3. Step 3: Cross multiply
    1,353.24x = 1,868.94 × 912.96
  4. Step 4: Simplify right side
    1,353.24x = 1,706,267.46
  5. Step 5: Solve for x
    x = 1,706,267.46/1,353.24
  6. Step 6: Final answer
    x = 1,260.88

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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.