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Finding the Fourth Proportional to 672.99, 1,009.14 and 518.99

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Solution

The fourth proportional to 672.99, 1,009.14 and 518.99 is: 778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.99 : 1,009.14 = 518.99 : x
  2. Step 2: Convert to fraction form
    672.99/1,009.14 = 518.99/x
  3. Step 3: Cross multiply
    672.99x = 1,009.14 × 518.99
  4. Step 4: Simplify right side
    672.99x = 523,728.52
  5. Step 5: Solve for x
    x = 523,728.52/672.99
  6. Step 6: Final answer
    x = 778.21

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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.