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Finding the Fourth Proportional to 858.31, 1,184.34 and 504.14

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Solution

The fourth proportional to 858.31, 1,184.34 and 504.14 is: 695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.31 : 1,184.34 = 504.14 : x
  2. Step 2: Convert to fraction form
    858.31/1,184.34 = 504.14/x
  3. Step 3: Cross multiply
    858.31x = 1,184.34 × 504.14
  4. Step 4: Simplify right side
    858.31x = 597,067.25
  5. Step 5: Solve for x
    x = 597,067.25/858.31
  6. Step 6: Final answer
    x = 695.63

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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.