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Finding the Fourth Proportional to 1,006.77, 1,389.23 and 608.68

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Solution

The fourth proportional to 1,006.77, 1,389.23 and 608.68 is: 839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.77 : 1,389.23 = 608.68 : x
  2. Step 2: Convert to fraction form
    1,006.77/1,389.23 = 608.68/x
  3. Step 3: Cross multiply
    1,006.77x = 1,389.23 × 608.68
  4. Step 4: Simplify right side
    1,006.77x = 845,593.26
  5. Step 5: Solve for x
    x = 845,593.26/1,006.77
  6. Step 6: Final answer
    x = 839.90

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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.