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Finding the Fourth Proportional to 521.25, 778.82 and 503.09

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Solution

The fourth proportional to 521.25, 778.82 and 503.09 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.25 : 778.82 = 503.09 : x
  2. Step 2: Convert to fraction form
    521.25/778.82 = 503.09/x
  3. Step 3: Cross multiply
    521.25x = 778.82 × 503.09
  4. Step 4: Simplify right side
    521.25x = 391,813.70
  5. Step 5: Solve for x
    x = 391,813.70/521.25
  6. Step 6: Final answer
    x = 751.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.