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Finding the Fourth Proportional to 858.87, 1,186.52 and 694.17

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Solution

The fourth proportional to 858.87, 1,186.52 and 694.17 is: 958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.87 : 1,186.52 = 694.17 : x
  2. Step 2: Convert to fraction form
    858.87/1,186.52 = 694.17/x
  3. Step 3: Cross multiply
    858.87x = 1,186.52 × 694.17
  4. Step 4: Simplify right side
    858.87x = 823,643.12
  5. Step 5: Solve for x
    x = 823,643.12/858.87
  6. Step 6: Final answer
    x = 958.98

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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.