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Finding the Fourth Proportional to 938.18, 1,407.38 and 548.78

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Solution

The fourth proportional to 938.18, 1,407.38 and 548.78 is: 823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.18 : 1,407.38 = 548.78 : x
  2. Step 2: Convert to fraction form
    938.18/1,407.38 = 548.78/x
  3. Step 3: Cross multiply
    938.18x = 1,407.38 × 548.78
  4. Step 4: Simplify right side
    938.18x = 772,332.22
  5. Step 5: Solve for x
    x = 772,332.22/938.18
  6. Step 6: Final answer
    x = 823.22

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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.