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Finding the Fourth Proportional to 932.81, 1,288.91 and 735.21

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Solution

The fourth proportional to 932.81, 1,288.91 and 735.21 is: 1,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.81 : 1,288.91 = 735.21 : x
  2. Step 2: Convert to fraction form
    932.81/1,288.91 = 735.21/x
  3. Step 3: Cross multiply
    932.81x = 1,288.91 × 735.21
  4. Step 4: Simplify right side
    932.81x = 947,615.85
  5. Step 5: Solve for x
    x = 947,615.85/932.81
  6. Step 6: Final answer
    x = 1,015.88

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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.