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Finding the Fourth Proportional to 584.54, 875.78 and 520.99

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Solution

The fourth proportional to 584.54, 875.78 and 520.99 is: 780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.54 : 875.78 = 520.99 : x
  2. Step 2: Convert to fraction form
    584.54/875.78 = 520.99/x
  3. Step 3: Cross multiply
    584.54x = 875.78 × 520.99
  4. Step 4: Simplify right side
    584.54x = 456,272.62
  5. Step 5: Solve for x
    x = 456,272.62/584.54
  6. Step 6: Final answer
    x = 780.57

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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.