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Finding the Fourth Proportional to 688.11, 1,032.21 and 277.24

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Solution

The fourth proportional to 688.11, 1,032.21 and 277.24 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.11 : 1,032.21 = 277.24 : x
  2. Step 2: Convert to fraction form
    688.11/1,032.21 = 277.24/x
  3. Step 3: Cross multiply
    688.11x = 1,032.21 × 277.24
  4. Step 4: Simplify right side
    688.11x = 286,169.90
  5. Step 5: Solve for x
    x = 286,169.90/688.11
  6. Step 6: Final answer
    x = 415.88

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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.