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Finding the Fourth Proportional to 688.60, 1,032.79 and 195.08

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Solution

The fourth proportional to 688.60, 1,032.79 and 195.08 is: 292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.60 : 1,032.79 = 195.08 : x
  2. Step 2: Convert to fraction form
    688.60/1,032.79 = 195.08/x
  3. Step 3: Cross multiply
    688.60x = 1,032.79 × 195.08
  4. Step 4: Simplify right side
    688.60x = 201,479.83
  5. Step 5: Solve for x
    x = 201,479.83/688.60
  6. Step 6: Final answer
    x = 292.59

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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.