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Finding the Fourth Proportional to 1,320.09, 1,822.17 and 878.10

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Solution

The fourth proportional to 1,320.09, 1,822.17 and 878.10 is: 1,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.09 : 1,822.17 = 878.10 : x
  2. Step 2: Convert to fraction form
    1,320.09/1,822.17 = 878.10/x
  3. Step 3: Cross multiply
    1,320.09x = 1,822.17 × 878.10
  4. Step 4: Simplify right side
    1,320.09x = 1,600,047.48
  5. Step 5: Solve for x
    x = 1,600,047.48/1,320.09
  6. Step 6: Final answer
    x = 1,212.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.