Home / 1,386.14-2,079.32-461.70

Finding the Fourth Proportional to 1,386.14, 2,079.32 and 461.70

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Solution

The fourth proportional to 1,386.14, 2,079.32 and 461.70 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.14 : 2,079.32 = 461.70 : x
  2. Step 2: Convert to fraction form
    1,386.14/2,079.32 = 461.70/x
  3. Step 3: Cross multiply
    1,386.14x = 2,079.32 × 461.70
  4. Step 4: Simplify right side
    1,386.14x = 960,023.20
  5. Step 5: Solve for x
    x = 960,023.20/1,386.14
  6. Step 6: Final answer
    x = 692.59

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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.