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Finding the Fourth Proportional to 654.58, 982.80 and 574.39

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Solution

The fourth proportional to 654.58, 982.80 and 574.39 is: 862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.58 : 982.80 = 574.39 : x
  2. Step 2: Convert to fraction form
    654.58/982.80 = 574.39/x
  3. Step 3: Cross multiply
    654.58x = 982.80 × 574.39
  4. Step 4: Simplify right side
    654.58x = 564,510.49
  5. Step 5: Solve for x
    x = 564,510.49/654.58
  6. Step 6: Final answer
    x = 862.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.