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Finding the Fourth Proportional to 1,139.69, 1,708.27 and 446.03

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Solution

The fourth proportional to 1,139.69, 1,708.27 and 446.03 is: 668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.69 : 1,708.27 = 446.03 : x
  2. Step 2: Convert to fraction form
    1,139.69/1,708.27 = 446.03/x
  3. Step 3: Cross multiply
    1,139.69x = 1,708.27 × 446.03
  4. Step 4: Simplify right side
    1,139.69x = 761,939.67
  5. Step 5: Solve for x
    x = 761,939.67/1,139.69
  6. Step 6: Final answer
    x = 668.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.