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Finding the Fourth Proportional to 847.23, 1,269.91 and 384.36

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Solution

The fourth proportional to 847.23, 1,269.91 and 384.36 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.23 : 1,269.91 = 384.36 : x
  2. Step 2: Convert to fraction form
    847.23/1,269.91 = 384.36/x
  3. Step 3: Cross multiply
    847.23x = 1,269.91 × 384.36
  4. Step 4: Simplify right side
    847.23x = 488,102.61
  5. Step 5: Solve for x
    x = 488,102.61/847.23
  6. Step 6: Final answer
    x = 576.12

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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.