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Finding the Fourth Proportional to 938.88, 1,400.40 and 910.08

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Solution

The fourth proportional to 938.88, 1,400.40 and 910.08 is: 1,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.88 : 1,400.40 = 910.08 : x
  2. Step 2: Convert to fraction form
    938.88/1,400.40 = 910.08/x
  3. Step 3: Cross multiply
    938.88x = 1,400.40 × 910.08
  4. Step 4: Simplify right side
    938.88x = 1,274,476.03
  5. Step 5: Solve for x
    x = 1,274,476.03/938.88
  6. Step 6: Final answer
    x = 1,357.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.