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Finding the Fourth Proportional to 922.72, 1,273.54 and 848.92

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Solution

The fourth proportional to 922.72, 1,273.54 and 848.92 is: 1,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,273.54 = 848.92 : x
  2. Step 2: Convert to fraction form
    922.72/1,273.54 = 848.92/x
  3. Step 3: Cross multiply
    922.72x = 1,273.54 × 848.92
  4. Step 4: Simplify right side
    922.72x = 1,081,133.58
  5. Step 5: Solve for x
    x = 1,081,133.58/922.72
  6. Step 6: Final answer
    x = 1,171.68

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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.