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Finding the Fourth Proportional to 1,139.09, 1,570.87 and 1,054.24

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Solution

The fourth proportional to 1,139.09, 1,570.87 and 1,054.24 is: 1,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.09 : 1,570.87 = 1,054.24 : x
  2. Step 2: Convert to fraction form
    1,139.09/1,570.87 = 1,054.24/x
  3. Step 3: Cross multiply
    1,139.09x = 1,570.87 × 1,054.24
  4. Step 4: Simplify right side
    1,139.09x = 1,656,073.99
  5. Step 5: Solve for x
    x = 1,656,073.99/1,139.09
  6. Step 6: Final answer
    x = 1,453.86

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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.