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Finding the Fourth Proportional to 922.88, 1,273.68 and 701.44

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Solution

The fourth proportional to 922.88, 1,273.68 and 701.44 is: 968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.88 : 1,273.68 = 701.44 : x
  2. Step 2: Convert to fraction form
    922.88/1,273.68 = 701.44/x
  3. Step 3: Cross multiply
    922.88x = 1,273.68 × 701.44
  4. Step 4: Simplify right side
    922.88x = 893,410.10
  5. Step 5: Solve for x
    x = 893,410.10/922.88
  6. Step 6: Final answer
    x = 968.07

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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.