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Finding the Fourth Proportional to 1,295.20, 1,787.29 and 771.13

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Solution

The fourth proportional to 1,295.20, 1,787.29 and 771.13 is: 1,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.20 : 1,787.29 = 771.13 : x
  2. Step 2: Convert to fraction form
    1,295.20/1,787.29 = 771.13/x
  3. Step 3: Cross multiply
    1,295.20x = 1,787.29 × 771.13
  4. Step 4: Simplify right side
    1,295.20x = 1,378,232.94
  5. Step 5: Solve for x
    x = 1,378,232.94/1,295.20
  6. Step 6: Final answer
    x = 1,064.11

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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.