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Finding the Fourth Proportional to 858.97, 1,185.38 and 465.99

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Solution

The fourth proportional to 858.97, 1,185.38 and 465.99 is: 643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.97 : 1,185.38 = 465.99 : x
  2. Step 2: Convert to fraction form
    858.97/1,185.38 = 465.99/x
  3. Step 3: Cross multiply
    858.97x = 1,185.38 × 465.99
  4. Step 4: Simplify right side
    858.97x = 552,375.23
  5. Step 5: Solve for x
    x = 552,375.23/858.97
  6. Step 6: Final answer
    x = 643.07

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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.