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Finding the Fourth Proportional to 686.25, 1,028.76 and 524.66

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Solution

The fourth proportional to 686.25, 1,028.76 and 524.66 is: 786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,028.76 = 524.66 : x
  2. Step 2: Convert to fraction form
    686.25/1,028.76 = 524.66/x
  3. Step 3: Cross multiply
    686.25x = 1,028.76 × 524.66
  4. Step 4: Simplify right side
    686.25x = 539,744.08
  5. Step 5: Solve for x
    x = 539,744.08/686.25
  6. Step 6: Final answer
    x = 786.51

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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.