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Finding the Fourth Proportional to 910.04, 1,256.16 and 648.80

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Solution

The fourth proportional to 910.04, 1,256.16 and 648.80 is: 895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.04 : 1,256.16 = 648.80 : x
  2. Step 2: Convert to fraction form
    910.04/1,256.16 = 648.80/x
  3. Step 3: Cross multiply
    910.04x = 1,256.16 × 648.80
  4. Step 4: Simplify right side
    910.04x = 814,996.61
  5. Step 5: Solve for x
    x = 814,996.61/910.04
  6. Step 6: Final answer
    x = 895.56

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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.