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Finding the Fourth Proportional to 1,309.16, 1,806.75 and 749.51

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Solution

The fourth proportional to 1,309.16, 1,806.75 and 749.51 is: 1,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.16 : 1,806.75 = 749.51 : x
  2. Step 2: Convert to fraction form
    1,309.16/1,806.75 = 749.51/x
  3. Step 3: Cross multiply
    1,309.16x = 1,806.75 × 749.51
  4. Step 4: Simplify right side
    1,309.16x = 1,354,168.16
  5. Step 5: Solve for x
    x = 1,354,168.16/1,309.16
  6. Step 6: Final answer
    x = 1,034.38

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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.