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Finding the Fourth Proportional to 922.51, 1,273.25 and 591.09

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Solution

The fourth proportional to 922.51, 1,273.25 and 591.09 is: 815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.51 : 1,273.25 = 591.09 : x
  2. Step 2: Convert to fraction form
    922.51/1,273.25 = 591.09/x
  3. Step 3: Cross multiply
    922.51x = 1,273.25 × 591.09
  4. Step 4: Simplify right side
    922.51x = 752,605.34
  5. Step 5: Solve for x
    x = 752,605.34/922.51
  6. Step 6: Final answer
    x = 815.82

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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.