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Finding the Fourth Proportional to 864.41, 1,297.49 and 474.80

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Solution

The fourth proportional to 864.41, 1,297.49 and 474.80 is: 712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.41 : 1,297.49 = 474.80 : x
  2. Step 2: Convert to fraction form
    864.41/1,297.49 = 474.80/x
  3. Step 3: Cross multiply
    864.41x = 1,297.49 × 474.80
  4. Step 4: Simplify right side
    864.41x = 616,039.39
  5. Step 5: Solve for x
    x = 616,039.39/864.41
  6. Step 6: Final answer
    x = 712.67

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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.