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Finding the Fourth Proportional to 688.42, 1,032.55 and 194.84

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Solution

The fourth proportional to 688.42, 1,032.55 and 194.84 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.42 : 1,032.55 = 194.84 : x
  2. Step 2: Convert to fraction form
    688.42/1,032.55 = 194.84/x
  3. Step 3: Cross multiply
    688.42x = 1,032.55 × 194.84
  4. Step 4: Simplify right side
    688.42x = 201,182.04
  5. Step 5: Solve for x
    x = 201,182.04/688.42
  6. Step 6: Final answer
    x = 292.24

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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.