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Finding the Fourth Proportional to 858.11, 1,184.19 and 465.14

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Solution

The fourth proportional to 858.11, 1,184.19 and 465.14 is: 641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.11 : 1,184.19 = 465.14 : x
  2. Step 2: Convert to fraction form
    858.11/1,184.19 = 465.14/x
  3. Step 3: Cross multiply
    858.11x = 1,184.19 × 465.14
  4. Step 4: Simplify right side
    858.11x = 550,808.22
  5. Step 5: Solve for x
    x = 550,808.22/858.11
  6. Step 6: Final answer
    x = 641.88

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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.