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Finding the Fourth Proportional to 583.40, 871.06 and 577.56

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Solution

The fourth proportional to 583.40, 871.06 and 577.56 is: 862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 871.06 = 577.56 : x
  2. Step 2: Convert to fraction form
    583.40/871.06 = 577.56/x
  3. Step 3: Cross multiply
    583.40x = 871.06 × 577.56
  4. Step 4: Simplify right side
    583.40x = 503,089.41
  5. Step 5: Solve for x
    x = 503,089.41/583.40
  6. Step 6: Final answer
    x = 862.34

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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.