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Finding the Fourth Proportional to 709.13, 1,058.82 and 577.64

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Solution

The fourth proportional to 709.13, 1,058.82 and 577.64 is: 862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.13 : 1,058.82 = 577.64 : x
  2. Step 2: Convert to fraction form
    709.13/1,058.82 = 577.64/x
  3. Step 3: Cross multiply
    709.13x = 1,058.82 × 577.64
  4. Step 4: Simplify right side
    709.13x = 611,616.78
  5. Step 5: Solve for x
    x = 611,616.78/709.13
  6. Step 6: Final answer
    x = 862.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.