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Finding the Fourth Proportional to 658.12, 909.34 and 634.76

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Solution

The fourth proportional to 658.12, 909.34 and 634.76 is: 877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.12 : 909.34 = 634.76 : x
  2. Step 2: Convert to fraction form
    658.12/909.34 = 634.76/x
  3. Step 3: Cross multiply
    658.12x = 909.34 × 634.76
  4. Step 4: Simplify right side
    658.12x = 577,212.66
  5. Step 5: Solve for x
    x = 577,212.66/658.12
  6. Step 6: Final answer
    x = 877.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.