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Finding the Fourth Proportional to 858.09, 1,184.15 and 465.11

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Solution

The fourth proportional to 858.09, 1,184.15 and 465.11 is: 641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.09 : 1,184.15 = 465.11 : x
  2. Step 2: Convert to fraction form
    858.09/1,184.15 = 465.11/x
  3. Step 3: Cross multiply
    858.09x = 1,184.15 × 465.11
  4. Step 4: Simplify right side
    858.09x = 550,760.01
  5. Step 5: Solve for x
    x = 550,760.01/858.09
  6. Step 6: Final answer
    x = 641.84

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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.