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Finding the Fourth Proportional to 688.24, 1,032.20 and 277.20

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Solution

The fourth proportional to 688.24, 1,032.20 and 277.20 is: 415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.24 : 1,032.20 = 277.20 : x
  2. Step 2: Convert to fraction form
    688.24/1,032.20 = 277.20/x
  3. Step 3: Cross multiply
    688.24x = 1,032.20 × 277.20
  4. Step 4: Simplify right side
    688.24x = 286,125.84
  5. Step 5: Solve for x
    x = 286,125.84/688.24
  6. Step 6: Final answer
    x = 415.74

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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.