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Finding the Fourth Proportional to 846.82, 1,168.66 and 473.80

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Solution

The fourth proportional to 846.82, 1,168.66 and 473.80 is: 653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.82 : 1,168.66 = 473.80 : x
  2. Step 2: Convert to fraction form
    846.82/1,168.66 = 473.80/x
  3. Step 3: Cross multiply
    846.82x = 1,168.66 × 473.80
  4. Step 4: Simplify right side
    846.82x = 553,711.11
  5. Step 5: Solve for x
    x = 553,711.11/846.82
  6. Step 6: Final answer
    x = 653.87

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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.