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Finding the Fourth Proportional to 1,402.40, 1,935.27 and 878.72

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Solution

The fourth proportional to 1,402.40, 1,935.27 and 878.72 is: 1,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.40 : 1,935.27 = 878.72 : x
  2. Step 2: Convert to fraction form
    1,402.40/1,935.27 = 878.72/x
  3. Step 3: Cross multiply
    1,402.40x = 1,935.27 × 878.72
  4. Step 4: Simplify right side
    1,402.40x = 1,700,560.45
  5. Step 5: Solve for x
    x = 1,700,560.45/1,402.40
  6. Step 6: Final answer
    x = 1,212.61

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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.