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Finding the Fourth Proportional to 922.72, 1,273.64 and 592.03

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Solution

The fourth proportional to 922.72, 1,273.64 and 592.03 is: 817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,273.64 = 592.03 : x
  2. Step 2: Convert to fraction form
    922.72/1,273.64 = 592.03/x
  3. Step 3: Cross multiply
    922.72x = 1,273.64 × 592.03
  4. Step 4: Simplify right side
    922.72x = 754,033.09
  5. Step 5: Solve for x
    x = 754,033.09/922.72
  6. Step 6: Final answer
    x = 817.19

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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.