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Finding the Fourth Proportional to 909.92, 1,255.69 and 511.61

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Solution

The fourth proportional to 909.92, 1,255.69 and 511.61 is: 706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.92 : 1,255.69 = 511.61 : x
  2. Step 2: Convert to fraction form
    909.92/1,255.69 = 511.61/x
  3. Step 3: Cross multiply
    909.92x = 1,255.69 × 511.61
  4. Step 4: Simplify right side
    909.92x = 642,421.72
  5. Step 5: Solve for x
    x = 642,421.72/909.92
  6. Step 6: Final answer
    x = 706.02

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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.