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Finding the Fourth Proportional to 743.92, 1,024.32 and 741.76

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Solution

The fourth proportional to 743.92, 1,024.32 and 741.76 is: 1,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.92 : 1,024.32 = 741.76 : x
  2. Step 2: Convert to fraction form
    743.92/1,024.32 = 741.76/x
  3. Step 3: Cross multiply
    743.92x = 1,024.32 × 741.76
  4. Step 4: Simplify right side
    743.92x = 759,799.60
  5. Step 5: Solve for x
    x = 759,799.60/743.92
  6. Step 6: Final answer
    x = 1,021.35

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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.