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Finding the Fourth Proportional to 910.24, 1,256.08 and 578.72

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Solution

The fourth proportional to 910.24, 1,256.08 and 578.72 is: 798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.24 : 1,256.08 = 578.72 : x
  2. Step 2: Convert to fraction form
    910.24/1,256.08 = 578.72/x
  3. Step 3: Cross multiply
    910.24x = 1,256.08 × 578.72
  4. Step 4: Simplify right side
    910.24x = 726,918.62
  5. Step 5: Solve for x
    x = 726,918.62/910.24
  6. Step 6: Final answer
    x = 798.60

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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.