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Finding the Fourth Proportional to 690.93, 952.56 and 494.10

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Solution

The fourth proportional to 690.93, 952.56 and 494.10 is: 681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 952.56 = 494.10 : x
  2. Step 2: Convert to fraction form
    690.93/952.56 = 494.10/x
  3. Step 3: Cross multiply
    690.93x = 952.56 × 494.10
  4. Step 4: Simplify right side
    690.93x = 470,659.90
  5. Step 5: Solve for x
    x = 470,659.90/690.93
  6. Step 6: Final answer
    x = 681.20

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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.