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Finding the Fourth Proportional to 1,309.10, 1,806.91 and 844.16

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Solution

The fourth proportional to 1,309.10, 1,806.91 and 844.16 is: 1,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.10 : 1,806.91 = 844.16 : x
  2. Step 2: Convert to fraction form
    1,309.10/1,806.91 = 844.16/x
  3. Step 3: Cross multiply
    1,309.10x = 1,806.91 × 844.16
  4. Step 4: Simplify right side
    1,309.10x = 1,525,310.00
  5. Step 5: Solve for x
    x = 1,525,310.00/1,309.10
  6. Step 6: Final answer
    x = 1,165.16

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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.