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Finding the Fourth Proportional to 696.13, 1,040.73 and 542.20

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Solution

The fourth proportional to 696.13, 1,040.73 and 542.20 is: 810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 1,040.73 = 542.20 : x
  2. Step 2: Convert to fraction form
    696.13/1,040.73 = 542.20/x
  3. Step 3: Cross multiply
    696.13x = 1,040.73 × 542.20
  4. Step 4: Simplify right side
    696.13x = 564,283.81
  5. Step 5: Solve for x
    x = 564,283.81/696.13
  6. Step 6: Final answer
    x = 810.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.