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Finding the Fourth Proportional to 1,356.38, 2,032.90 and 771.87

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Solution

The fourth proportional to 1,356.38, 2,032.90 and 771.87 is: 1,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.38 : 2,032.90 = 771.87 : x
  2. Step 2: Convert to fraction form
    1,356.38/2,032.90 = 771.87/x
  3. Step 3: Cross multiply
    1,356.38x = 2,032.90 × 771.87
  4. Step 4: Simplify right side
    1,356.38x = 1,569,134.52
  5. Step 5: Solve for x
    x = 1,569,134.52/1,356.38
  6. Step 6: Final answer
    x = 1,156.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.