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Finding the Fourth Proportional to 1,320.81, 1,822.74 and 723.30

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Solution

The fourth proportional to 1,320.81, 1,822.74 and 723.30 is: 998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.81 : 1,822.74 = 723.30 : x
  2. Step 2: Convert to fraction form
    1,320.81/1,822.74 = 723.30/x
  3. Step 3: Cross multiply
    1,320.81x = 1,822.74 × 723.30
  4. Step 4: Simplify right side
    1,320.81x = 1,318,387.84
  5. Step 5: Solve for x
    x = 1,318,387.84/1,320.81
  6. Step 6: Final answer
    x = 998.17

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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.