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Finding the Fourth Proportional to 938.88, 1,294.13 and 752.09

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Solution

The fourth proportional to 938.88, 1,294.13 and 752.09 is: 1,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.88 : 1,294.13 = 752.09 : x
  2. Step 2: Convert to fraction form
    938.88/1,294.13 = 752.09/x
  3. Step 3: Cross multiply
    938.88x = 1,294.13 × 752.09
  4. Step 4: Simplify right side
    938.88x = 973,297.64
  5. Step 5: Solve for x
    x = 973,297.64/938.88
  6. Step 6: Final answer
    x = 1,036.66

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1.5x scale

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.