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Finding the Fourth Proportional to 910.10, 1,255.41 and 578.40

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Solution

The fourth proportional to 910.10, 1,255.41 and 578.40 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.10 : 1,255.41 = 578.40 : x
  2. Step 2: Convert to fraction form
    910.10/1,255.41 = 578.40/x
  3. Step 3: Cross multiply
    910.10x = 1,255.41 × 578.40
  4. Step 4: Simplify right side
    910.10x = 726,129.14
  5. Step 5: Solve for x
    x = 726,129.14/910.10
  6. Step 6: Final answer
    x = 797.86

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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.