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Finding the Fourth Proportional to 846.91, 1,168.50 and 473.85

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Solution

The fourth proportional to 846.91, 1,168.50 and 473.85 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.91 : 1,168.50 = 473.85 : x
  2. Step 2: Convert to fraction form
    846.91/1,168.50 = 473.85/x
  3. Step 3: Cross multiply
    846.91x = 1,168.50 × 473.85
  4. Step 4: Simplify right side
    846.91x = 553,693.73
  5. Step 5: Solve for x
    x = 553,693.73/846.91
  6. Step 6: Final answer
    x = 653.78

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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.