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Finding the Fourth Proportional to 859.11, 1,287.62 and 468.19

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Solution

The fourth proportional to 859.11, 1,287.62 and 468.19 is: 701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.11 : 1,287.62 = 468.19 : x
  2. Step 2: Convert to fraction form
    859.11/1,287.62 = 468.19/x
  3. Step 3: Cross multiply
    859.11x = 1,287.62 × 468.19
  4. Step 4: Simplify right side
    859.11x = 602,850.81
  5. Step 5: Solve for x
    x = 602,850.81/859.11
  6. Step 6: Final answer
    x = 701.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.