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Finding the Fourth Proportional to 584.01, 873.86 and 512.73

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Solution

The fourth proportional to 584.01, 873.86 and 512.73 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 873.86 = 512.73 : x
  2. Step 2: Convert to fraction form
    584.01/873.86 = 512.73/x
  3. Step 3: Cross multiply
    584.01x = 873.86 × 512.73
  4. Step 4: Simplify right side
    584.01x = 448,051.67
  5. Step 5: Solve for x
    x = 448,051.67/584.01
  6. Step 6: Final answer
    x = 767.20

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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.