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Finding the Fourth Proportional to 858.77, 1,185.11 and 465.80

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Solution

The fourth proportional to 858.77, 1,185.11 and 465.80 is: 642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.77 : 1,185.11 = 465.80 : x
  2. Step 2: Convert to fraction form
    858.77/1,185.11 = 465.80/x
  3. Step 3: Cross multiply
    858.77x = 1,185.11 × 465.80
  4. Step 4: Simplify right side
    858.77x = 552,024.87
  5. Step 5: Solve for x
    x = 552,024.87/858.77
  6. Step 6: Final answer
    x = 642.81

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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.