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Finding the Fourth Proportional to 1,320.25, 1,821.98 and 855.31

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Solution

The fourth proportional to 1,320.25, 1,821.98 and 855.31 is: 1,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.25 : 1,821.98 = 855.31 : x
  2. Step 2: Convert to fraction form
    1,320.25/1,821.98 = 855.31/x
  3. Step 3: Cross multiply
    1,320.25x = 1,821.98 × 855.31
  4. Step 4: Simplify right side
    1,320.25x = 1,558,357.71
  5. Step 5: Solve for x
    x = 1,558,357.71/1,320.25
  6. Step 6: Final answer
    x = 1,180.35

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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.