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Finding the Fourth Proportional to 696.54, 1,040.16 and 656.04

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Solution

The fourth proportional to 696.54, 1,040.16 and 656.04 is: 979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.54 : 1,040.16 = 656.04 : x
  2. Step 2: Convert to fraction form
    696.54/1,040.16 = 656.04/x
  3. Step 3: Cross multiply
    696.54x = 1,040.16 × 656.04
  4. Step 4: Simplify right side
    696.54x = 682,386.57
  5. Step 5: Solve for x
    x = 682,386.57/696.54
  6. Step 6: Final answer
    x = 979.68

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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.