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Finding the Fourth Proportional to 1,386.47, 2,079.19 and 461.82

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Solution

The fourth proportional to 1,386.47, 2,079.19 and 461.82 is: 692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.47 : 2,079.19 = 461.82 : x
  2. Step 2: Convert to fraction form
    1,386.47/2,079.19 = 461.82/x
  3. Step 3: Cross multiply
    1,386.47x = 2,079.19 × 461.82
  4. Step 4: Simplify right side
    1,386.47x = 960,201.13
  5. Step 5: Solve for x
    x = 960,201.13/1,386.47
  6. Step 6: Final answer
    x = 692.55

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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.