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Finding the Fourth Proportional to 1,301.13, 1,952.91 and 685.53

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Solution

The fourth proportional to 1,301.13, 1,952.91 and 685.53 is: 1,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.13 : 1,952.91 = 685.53 : x
  2. Step 2: Convert to fraction form
    1,301.13/1,952.91 = 685.53/x
  3. Step 3: Cross multiply
    1,301.13x = 1,952.91 × 685.53
  4. Step 4: Simplify right side
    1,301.13x = 1,338,778.39
  5. Step 5: Solve for x
    x = 1,338,778.39/1,301.13
  6. Step 6: Final answer
    x = 1,028.94

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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.