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Finding the Fourth Proportional to 1,287.11, 1,776.54 and 822.17

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Solution

The fourth proportional to 1,287.11, 1,776.54 and 822.17 is: 1,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.11 : 1,776.54 = 822.17 : x
  2. Step 2: Convert to fraction form
    1,287.11/1,776.54 = 822.17/x
  3. Step 3: Cross multiply
    1,287.11x = 1,776.54 × 822.17
  4. Step 4: Simplify right side
    1,287.11x = 1,460,617.89
  5. Step 5: Solve for x
    x = 1,460,617.89/1,287.11
  6. Step 6: Final answer
    x = 1,134.80

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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.