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Finding the Fourth Proportional to 910.13, 1,358.31 and 822.65

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Solution

The fourth proportional to 910.13, 1,358.31 and 822.65 is: 1,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.13 : 1,358.31 = 822.65 : x
  2. Step 2: Convert to fraction form
    910.13/1,358.31 = 822.65/x
  3. Step 3: Cross multiply
    910.13x = 1,358.31 × 822.65
  4. Step 4: Simplify right side
    910.13x = 1,117,406.93
  5. Step 5: Solve for x
    x = 1,117,406.93/910.13
  6. Step 6: Final answer
    x = 1,227.75

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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.