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Finding the Fourth Proportional to 801.30, 1,195.05 and 723.54

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Solution

The fourth proportional to 801.30, 1,195.05 and 723.54 is: 1,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.30 : 1,195.05 = 723.54 : x
  2. Step 2: Convert to fraction form
    801.30/1,195.05 = 723.54/x
  3. Step 3: Cross multiply
    801.30x = 1,195.05 × 723.54
  4. Step 4: Simplify right side
    801.30x = 864,666.48
  5. Step 5: Solve for x
    x = 864,666.48/801.30
  6. Step 6: Final answer
    x = 1,079.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.