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Finding the Fourth Proportional to 909.89, 1,255.54 and 511.58

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Solution

The fourth proportional to 909.89, 1,255.54 and 511.58 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.89 : 1,255.54 = 511.58 : x
  2. Step 2: Convert to fraction form
    909.89/1,255.54 = 511.58/x
  3. Step 3: Cross multiply
    909.89x = 1,255.54 × 511.58
  4. Step 4: Simplify right side
    909.89x = 642,309.15
  5. Step 5: Solve for x
    x = 642,309.15/909.89
  6. Step 6: Final answer
    x = 705.92

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Why These Related Problems?

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