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Finding the Fourth Proportional to 1,411.46, 1,948.76 and 880.56

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Solution

The fourth proportional to 1,411.46, 1,948.76 and 880.56 is: 1,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.46 : 1,948.76 = 880.56 : x
  2. Step 2: Convert to fraction form
    1,411.46/1,948.76 = 880.56/x
  3. Step 3: Cross multiply
    1,411.46x = 1,948.76 × 880.56
  4. Step 4: Simplify right side
    1,411.46x = 1,716,000.11
  5. Step 5: Solve for x
    x = 1,716,000.11/1,411.46
  6. Step 6: Final answer
    x = 1,215.76

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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.