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Finding the Fourth Proportional to 1,062.71, 1,593.44 and 412.68

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Solution

The fourth proportional to 1,062.71, 1,593.44 and 412.68 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.71 : 1,593.44 = 412.68 : x
  2. Step 2: Convert to fraction form
    1,062.71/1,593.44 = 412.68/x
  3. Step 3: Cross multiply
    1,062.71x = 1,593.44 × 412.68
  4. Step 4: Simplify right side
    1,062.71x = 657,580.82
  5. Step 5: Solve for x
    x = 657,580.82/1,062.71
  6. Step 6: Final answer
    x = 618.78

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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.