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Finding the Fourth Proportional to 1,062.55, 1,593.19 and 412.52

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Solution

The fourth proportional to 1,062.55, 1,593.19 and 412.52 is: 618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.55 : 1,593.19 = 412.52 : x
  2. Step 2: Convert to fraction form
    1,062.55/1,593.19 = 412.52/x
  3. Step 3: Cross multiply
    1,062.55x = 1,593.19 × 412.52
  4. Step 4: Simplify right side
    1,062.55x = 657,220.68
  5. Step 5: Solve for x
    x = 657,220.68/1,062.55
  6. Step 6: Final answer
    x = 618.53

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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.