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Finding the Fourth Proportional to 694.06, 1,038.48 and 656.98

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Solution

The fourth proportional to 694.06, 1,038.48 and 656.98 is: 983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.06 : 1,038.48 = 656.98 : x
  2. Step 2: Convert to fraction form
    694.06/1,038.48 = 656.98/x
  3. Step 3: Cross multiply
    694.06x = 1,038.48 × 656.98
  4. Step 4: Simplify right side
    694.06x = 682,260.59
  5. Step 5: Solve for x
    x = 682,260.59/694.06
  6. Step 6: Final answer
    x = 983.00

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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.