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Finding the Fourth Proportional to 654.39, 980.23 and 524.61

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Solution

The fourth proportional to 654.39, 980.23 and 524.61 is: 785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.39 : 980.23 = 524.61 : x
  2. Step 2: Convert to fraction form
    654.39/980.23 = 524.61/x
  3. Step 3: Cross multiply
    654.39x = 980.23 × 524.61
  4. Step 4: Simplify right side
    654.39x = 514,238.46
  5. Step 5: Solve for x
    x = 514,238.46/654.39
  6. Step 6: Final answer
    x = 785.83

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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.