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Finding the Fourth Proportional to 688.71, 1,032.96 and 195.15

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Solution

The fourth proportional to 688.71, 1,032.96 and 195.15 is: 292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.71 : 1,032.96 = 195.15 : x
  2. Step 2: Convert to fraction form
    688.71/1,032.96 = 195.15/x
  3. Step 3: Cross multiply
    688.71x = 1,032.96 × 195.15
  4. Step 4: Simplify right side
    688.71x = 201,582.14
  5. Step 5: Solve for x
    x = 201,582.14/688.71
  6. Step 6: Final answer
    x = 292.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.