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Finding the Fourth Proportional to 1,386.06, 2,079.01 and 762.55

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Solution

The fourth proportional to 1,386.06, 2,079.01 and 762.55 is: 1,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.06 : 2,079.01 = 762.55 : x
  2. Step 2: Convert to fraction form
    1,386.06/2,079.01 = 762.55/x
  3. Step 3: Cross multiply
    1,386.06x = 2,079.01 × 762.55
  4. Step 4: Simplify right side
    1,386.06x = 1,585,341.97
  5. Step 5: Solve for x
    x = 1,585,341.97/1,386.06
  6. Step 6: Final answer
    x = 1,143.78

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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.