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Finding the Fourth Proportional to 1,320.74, 1,822.80 and 1,005.56

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Solution

The fourth proportional to 1,320.74, 1,822.80 and 1,005.56 is: 1,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.74 : 1,822.80 = 1,005.56 : x
  2. Step 2: Convert to fraction form
    1,320.74/1,822.80 = 1,005.56/x
  3. Step 3: Cross multiply
    1,320.74x = 1,822.80 × 1,005.56
  4. Step 4: Simplify right side
    1,320.74x = 1,832,934.77
  5. Step 5: Solve for x
    x = 1,832,934.77/1,320.74
  6. Step 6: Final answer
    x = 1,387.81

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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.