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Finding the Fourth Proportional to 910.12, 1,255.98 and 496.12

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Solution

The fourth proportional to 910.12, 1,255.98 and 496.12 is: 684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.12 : 1,255.98 = 496.12 : x
  2. Step 2: Convert to fraction form
    910.12/1,255.98 = 496.12/x
  3. Step 3: Cross multiply
    910.12x = 1,255.98 × 496.12
  4. Step 4: Simplify right side
    910.12x = 623,116.80
  5. Step 5: Solve for x
    x = 623,116.80/910.12
  6. Step 6: Final answer
    x = 684.65

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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.