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Finding the Fourth Proportional to 1,320.12, 1,821.86 and 789.02

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Solution

The fourth proportional to 1,320.12, 1,821.86 and 789.02 is: 1,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.12 : 1,821.86 = 789.02 : x
  2. Step 2: Convert to fraction form
    1,320.12/1,821.86 = 789.02/x
  3. Step 3: Cross multiply
    1,320.12x = 1,821.86 × 789.02
  4. Step 4: Simplify right side
    1,320.12x = 1,437,483.98
  5. Step 5: Solve for x
    x = 1,437,483.98/1,320.12
  6. Step 6: Final answer
    x = 1,088.90

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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.