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Finding the Fourth Proportional to 910.13, 1,255.97 and 496.13

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Solution

The fourth proportional to 910.13, 1,255.97 and 496.13 is: 684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.13 : 1,255.97 = 496.13 : x
  2. Step 2: Convert to fraction form
    910.13/1,255.97 = 496.13/x
  3. Step 3: Cross multiply
    910.13x = 1,255.97 × 496.13
  4. Step 4: Simplify right side
    910.13x = 623,119.36
  5. Step 5: Solve for x
    x = 623,119.36/910.13
  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.