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Finding the Fourth Proportional to 1,264.38, 1,896.57 and 776.55

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Solution

The fourth proportional to 1,264.38, 1,896.57 and 776.55 is: 1,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.38 : 1,896.57 = 776.55 : x
  2. Step 2: Convert to fraction form
    1,264.38/1,896.57 = 776.55/x
  3. Step 3: Cross multiply
    1,264.38x = 1,896.57 × 776.55
  4. Step 4: Simplify right side
    1,264.38x = 1,472,781.43
  5. Step 5: Solve for x
    x = 1,472,781.43/1,264.38
  6. Step 6: Final answer
    x = 1,164.83

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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.