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Finding the Fourth Proportional to 921.11, 1,271.40 and 735.89

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Solution

The fourth proportional to 921.11, 1,271.40 and 735.89 is: 1,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.11 : 1,271.40 = 735.89 : x
  2. Step 2: Convert to fraction form
    921.11/1,271.40 = 735.89/x
  3. Step 3: Cross multiply
    921.11x = 1,271.40 × 735.89
  4. Step 4: Simplify right side
    921.11x = 935,610.55
  5. Step 5: Solve for x
    x = 935,610.55/921.11
  6. Step 6: Final answer
    x = 1,015.74

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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.