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Finding the Fourth Proportional to 909.12, 1,254.84 and 722.92

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Solution

The fourth proportional to 909.12, 1,254.84 and 722.92 is: 997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.12 : 1,254.84 = 722.92 : x
  2. Step 2: Convert to fraction form
    909.12/1,254.84 = 722.92/x
  3. Step 3: Cross multiply
    909.12x = 1,254.84 × 722.92
  4. Step 4: Simplify right side
    909.12x = 907,148.93
  5. Step 5: Solve for x
    x = 907,148.93/909.12
  6. Step 6: Final answer
    x = 997.83

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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.