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Finding the Fourth Proportional to 743.39, 1,024.92 and 577.31

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Solution

The fourth proportional to 743.39, 1,024.92 and 577.31 is: 795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.39 : 1,024.92 = 577.31 : x
  2. Step 2: Convert to fraction form
    743.39/1,024.92 = 577.31/x
  3. Step 3: Cross multiply
    743.39x = 1,024.92 × 577.31
  4. Step 4: Simplify right side
    743.39x = 591,697.21
  5. Step 5: Solve for x
    x = 591,697.21/743.39
  6. Step 6: Final answer
    x = 795.94

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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.