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Finding the Fourth Proportional to 1,006.26, 1,389.06 and 613.42

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Solution

The fourth proportional to 1,006.26, 1,389.06 and 613.42 is: 846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.26 : 1,389.06 = 613.42 : x
  2. Step 2: Convert to fraction form
    1,006.26/1,389.06 = 613.42/x
  3. Step 3: Cross multiply
    1,006.26x = 1,389.06 × 613.42
  4. Step 4: Simplify right side
    1,006.26x = 852,077.19
  5. Step 5: Solve for x
    x = 852,077.19/1,006.26
  6. Step 6: Final answer
    x = 846.78

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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.