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Finding the Fourth Proportional to 741.82, 1,024.49 and 577.98

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Solution

The fourth proportional to 741.82, 1,024.49 and 577.98 is: 798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.82 : 1,024.49 = 577.98 : x
  2. Step 2: Convert to fraction form
    741.82/1,024.49 = 577.98/x
  3. Step 3: Cross multiply
    741.82x = 1,024.49 × 577.98
  4. Step 4: Simplify right side
    741.82x = 592,134.73
  5. Step 5: Solve for x
    x = 592,134.73/741.82
  6. Step 6: Final answer
    x = 798.22

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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.