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Finding the Fourth Proportional to 584.60, 875.10 and 519.80

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Solution

The fourth proportional to 584.60, 875.10 and 519.80 is: 778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 875.10 = 519.80 : x
  2. Step 2: Convert to fraction form
    584.60/875.10 = 519.80/x
  3. Step 3: Cross multiply
    584.60x = 875.10 × 519.80
  4. Step 4: Simplify right side
    584.60x = 454,876.98
  5. Step 5: Solve for x
    x = 454,876.98/584.60
  6. Step 6: Final answer
    x = 778.10

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