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Finding the Fourth Proportional to 1,386.96, 2,080.24 and 565.22

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Solution

The fourth proportional to 1,386.96, 2,080.24 and 565.22 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.96 : 2,080.24 = 565.22 : x
  2. Step 2: Convert to fraction form
    1,386.96/2,080.24 = 565.22/x
  3. Step 3: Cross multiply
    1,386.96x = 2,080.24 × 565.22
  4. Step 4: Simplify right side
    1,386.96x = 1,175,793.25
  5. Step 5: Solve for x
    x = 1,175,793.25/1,386.96
  6. Step 6: Final answer
    x = 847.75

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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.