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Finding the Fourth Proportional to 1,309.19, 1,806.80 and 749.84

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Solution

The fourth proportional to 1,309.19, 1,806.80 and 749.84 is: 1,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.19 : 1,806.80 = 749.84 : x
  2. Step 2: Convert to fraction form
    1,309.19/1,806.80 = 749.84/x
  3. Step 3: Cross multiply
    1,309.19x = 1,806.80 × 749.84
  4. Step 4: Simplify right side
    1,309.19x = 1,354,798.13
  5. Step 5: Solve for x
    x = 1,354,798.13/1,309.19
  6. Step 6: Final answer
    x = 1,034.84

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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.