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Finding the Fourth Proportional to 859.99, 1,186.79 and 467.02

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Solution

The fourth proportional to 859.99, 1,186.79 and 467.02 is: 644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,186.79 = 467.02 : x
  2. Step 2: Convert to fraction form
    859.99/1,186.79 = 467.02/x
  3. Step 3: Cross multiply
    859.99x = 1,186.79 × 467.02
  4. Step 4: Simplify right side
    859.99x = 554,249.11
  5. Step 5: Solve for x
    x = 554,249.11/859.99
  6. Step 6: Final answer
    x = 644.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.