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Finding the Fourth Proportional to 846.82, 1,168.55 and 468.71

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Solution

The fourth proportional to 846.82, 1,168.55 and 468.71 is: 646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.82 : 1,168.55 = 468.71 : x
  2. Step 2: Convert to fraction form
    846.82/1,168.55 = 468.71/x
  3. Step 3: Cross multiply
    846.82x = 1,168.55 × 468.71
  4. Step 4: Simplify right side
    846.82x = 547,711.07
  5. Step 5: Solve for x
    x = 547,711.07/846.82
  6. Step 6: Final answer
    x = 646.79

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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.