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Finding the Fourth Proportional to 1,278.70, 1,763.58 and 886.96

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Solution

The fourth proportional to 1,278.70, 1,763.58 and 886.96 is: 1,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.70 : 1,763.58 = 886.96 : x
  2. Step 2: Convert to fraction form
    1,278.70/1,763.58 = 886.96/x
  3. Step 3: Cross multiply
    1,278.70x = 1,763.58 × 886.96
  4. Step 4: Simplify right side
    1,278.70x = 1,564,224.92
  5. Step 5: Solve for x
    x = 1,564,224.92/1,278.70
  6. Step 6: Final answer
    x = 1,223.29

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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.