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Finding the Fourth Proportional to 1,386.62, 2,079.23 and 461.85

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Solution

The fourth proportional to 1,386.62, 2,079.23 and 461.85 is: 692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.62 : 2,079.23 = 461.85 : x
  2. Step 2: Convert to fraction form
    1,386.62/2,079.23 = 461.85/x
  3. Step 3: Cross multiply
    1,386.62x = 2,079.23 × 461.85
  4. Step 4: Simplify right side
    1,386.62x = 960,290.07
  5. Step 5: Solve for x
    x = 960,290.07/1,386.62
  6. Step 6: Final answer
    x = 692.54

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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.