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Finding the Fourth Proportional to 1,309.19, 1,806.66 and 749.63

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Solution

The fourth proportional to 1,309.19, 1,806.66 and 749.63 is: 1,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.19 : 1,806.66 = 749.63 : x
  2. Step 2: Convert to fraction form
    1,309.19/1,806.66 = 749.63/x
  3. Step 3: Cross multiply
    1,309.19x = 1,806.66 × 749.63
  4. Step 4: Simplify right side
    1,309.19x = 1,354,333.16
  5. Step 5: Solve for x
    x = 1,354,333.16/1,309.19
  6. Step 6: Final answer
    x = 1,034.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.