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Finding the Fourth Proportional to 910.53, 1,256.85 and 817.11

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Solution

The fourth proportional to 910.53, 1,256.85 and 817.11 is: 1,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.53 : 1,256.85 = 817.11 : x
  2. Step 2: Convert to fraction form
    910.53/1,256.85 = 817.11/x
  3. Step 3: Cross multiply
    910.53x = 1,256.85 × 817.11
  4. Step 4: Simplify right side
    910.53x = 1,026,984.70
  5. Step 5: Solve for x
    x = 1,026,984.70/910.53
  6. Step 6: Final answer
    x = 1,127.90

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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.