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Finding the Fourth Proportional to 1,139.05, 1,570.04 and 889.93

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Solution

The fourth proportional to 1,139.05, 1,570.04 and 889.93 is: 1,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.05 : 1,570.04 = 889.93 : x
  2. Step 2: Convert to fraction form
    1,139.05/1,570.04 = 889.93/x
  3. Step 3: Cross multiply
    1,139.05x = 1,570.04 × 889.93
  4. Step 4: Simplify right side
    1,139.05x = 1,397,226.55
  5. Step 5: Solve for x
    x = 1,397,226.55/1,139.05
  6. Step 6: Final answer
    x = 1,226.66

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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.