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Finding the Fourth Proportional to 743.20, 1,024.87 and 577.35

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Solution

The fourth proportional to 743.20, 1,024.87 and 577.35 is: 796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.20 : 1,024.87 = 577.35 : x
  2. Step 2: Convert to fraction form
    743.20/1,024.87 = 577.35/x
  3. Step 3: Cross multiply
    743.20x = 1,024.87 × 577.35
  4. Step 4: Simplify right side
    743.20x = 591,708.69
  5. Step 5: Solve for x
    x = 591,708.69/743.20
  6. Step 6: Final answer
    x = 796.16

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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.