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Finding the Fourth Proportional to 1,411.87, 1,947.82 and 880.44

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Solution

The fourth proportional to 1,411.87, 1,947.82 and 880.44 is: 1,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.87 : 1,947.82 = 880.44 : x
  2. Step 2: Convert to fraction form
    1,411.87/1,947.82 = 880.44/x
  3. Step 3: Cross multiply
    1,411.87x = 1,947.82 × 880.44
  4. Step 4: Simplify right side
    1,411.87x = 1,714,938.64
  5. Step 5: Solve for x
    x = 1,714,938.64/1,411.87
  6. Step 6: Final answer
    x = 1,214.66

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Why These Related Problems?

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