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Finding the Fourth Proportional to 690.19, 952.58 and 667.42

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Solution

The fourth proportional to 690.19, 952.58 and 667.42 is: 921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.19 : 952.58 = 667.42 : x
  2. Step 2: Convert to fraction form
    690.19/952.58 = 667.42/x
  3. Step 3: Cross multiply
    690.19x = 952.58 × 667.42
  4. Step 4: Simplify right side
    690.19x = 635,770.23
  5. Step 5: Solve for x
    x = 635,770.23/690.19
  6. Step 6: Final answer
    x = 921.16

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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.