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Finding the Fourth Proportional to 1,320.54, 1,822.32 and 723.02

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Solution

The fourth proportional to 1,320.54, 1,822.32 and 723.02 is: 997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.54 : 1,822.32 = 723.02 : x
  2. Step 2: Convert to fraction form
    1,320.54/1,822.32 = 723.02/x
  3. Step 3: Cross multiply
    1,320.54x = 1,822.32 × 723.02
  4. Step 4: Simplify right side
    1,320.54x = 1,317,564.69
  5. Step 5: Solve for x
    x = 1,317,564.69/1,320.54
  6. Step 6: Final answer
    x = 997.75

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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.