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Finding the Fourth Proportional to 1,077.45, 1,613.28 and 685.33

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Solution

The fourth proportional to 1,077.45, 1,613.28 and 685.33 is: 1,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.45 : 1,613.28 = 685.33 : x
  2. Step 2: Convert to fraction form
    1,077.45/1,613.28 = 685.33/x
  3. Step 3: Cross multiply
    1,077.45x = 1,613.28 × 685.33
  4. Step 4: Simplify right side
    1,077.45x = 1,105,629.18
  5. Step 5: Solve for x
    x = 1,105,629.18/1,077.45
  6. Step 6: Final answer
    x = 1,026.15

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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.