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Finding the Fourth Proportional to 922.48, 1,273.05 and 701.04

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Solution

The fourth proportional to 922.48, 1,273.05 and 701.04 is: 967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.48 : 1,273.05 = 701.04 : x
  2. Step 2: Convert to fraction form
    922.48/1,273.05 = 701.04/x
  3. Step 3: Cross multiply
    922.48x = 1,273.05 × 701.04
  4. Step 4: Simplify right side
    922.48x = 892,458.97
  5. Step 5: Solve for x
    x = 892,458.97/922.48
  6. Step 6: Final answer
    x = 967.46

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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.