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Finding the Fourth Proportional to 1,006, 1,388.34 and 613.12

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Solution

The fourth proportional to 1,006, 1,388.34 and 613.12 is: 846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006 : 1,388.34 = 613.12 : x
  2. Step 2: Convert to fraction form
    1,006/1,388.34 = 613.12/x
  3. Step 3: Cross multiply
    1,006x = 1,388.34 × 613.12
  4. Step 4: Simplify right side
    1,006x = 851,219.02
  5. Step 5: Solve for x
    x = 851,219.02/1,006
  6. Step 6: Final answer
    x = 846.14

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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.