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Finding the Fourth Proportional to 1,320.61, 1,822.32 and 789.39

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Solution

The fourth proportional to 1,320.61, 1,822.32 and 789.39 is: 1,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.61 : 1,822.32 = 789.39 : x
  2. Step 2: Convert to fraction form
    1,320.61/1,822.32 = 789.39/x
  3. Step 3: Cross multiply
    1,320.61x = 1,822.32 × 789.39
  4. Step 4: Simplify right side
    1,320.61x = 1,438,518.79
  5. Step 5: Solve for x
    x = 1,438,518.79/1,320.61
  6. Step 6: Final answer
    x = 1,089.28

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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.