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Finding the Fourth Proportional to 1,126.39, 1,690.31 and 548.95

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Solution

The fourth proportional to 1,126.39, 1,690.31 and 548.95 is: 823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.39 : 1,690.31 = 548.95 : x
  2. Step 2: Convert to fraction form
    1,126.39/1,690.31 = 548.95/x
  3. Step 3: Cross multiply
    1,126.39x = 1,690.31 × 548.95
  4. Step 4: Simplify right side
    1,126.39x = 927,895.67
  5. Step 5: Solve for x
    x = 927,895.67/1,126.39
  6. Step 6: Final answer
    x = 823.78

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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.