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Finding the Fourth Proportional to 922.53, 1,271.74 and 701.09

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Solution

The fourth proportional to 922.53, 1,271.74 and 701.09 is: 966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.53 : 1,271.74 = 701.09 : x
  2. Step 2: Convert to fraction form
    922.53/1,271.74 = 701.09/x
  3. Step 3: Cross multiply
    922.53x = 1,271.74 × 701.09
  4. Step 4: Simplify right side
    922.53x = 891,604.20
  5. Step 5: Solve for x
    x = 891,604.20/922.53
  6. Step 6: Final answer
    x = 966.48

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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.