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Finding the Fourth Proportional to 810.98, 1,211.28 and 648.17

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Solution

The fourth proportional to 810.98, 1,211.28 and 648.17 is: 968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.98 : 1,211.28 = 648.17 : x
  2. Step 2: Convert to fraction form
    810.98/1,211.28 = 648.17/x
  3. Step 3: Cross multiply
    810.98x = 1,211.28 × 648.17
  4. Step 4: Simplify right side
    810.98x = 785,109.30
  5. Step 5: Solve for x
    x = 785,109.30/810.98
  6. Step 6: Final answer
    x = 968.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.