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Finding the Fourth Proportional to 1,010.87, 1,395.47 and 679.53

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Solution

The fourth proportional to 1,010.87, 1,395.47 and 679.53 is: 938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.87 : 1,395.47 = 679.53 : x
  2. Step 2: Convert to fraction form
    1,010.87/1,395.47 = 679.53/x
  3. Step 3: Cross multiply
    1,010.87x = 1,395.47 × 679.53
  4. Step 4: Simplify right side
    1,010.87x = 948,265.43
  5. Step 5: Solve for x
    x = 948,265.43/1,010.87
  6. Step 6: Final answer
    x = 938.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.