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Finding the Fourth Proportional to 1,386.49, 2,077.90 and 769.87

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Solution

The fourth proportional to 1,386.49, 2,077.90 and 769.87 is: 1,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.49 : 2,077.90 = 769.87 : x
  2. Step 2: Convert to fraction form
    1,386.49/2,077.90 = 769.87/x
  3. Step 3: Cross multiply
    1,386.49x = 2,077.90 × 769.87
  4. Step 4: Simplify right side
    1,386.49x = 1,599,712.87
  5. Step 5: Solve for x
    x = 1,599,712.87/1,386.49
  6. Step 6: Final answer
    x = 1,153.79

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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.