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Finding the Fourth Proportional to 1,143.09, 1,577.01 and 700.83

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Solution

The fourth proportional to 1,143.09, 1,577.01 and 700.83 is: 966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.09 : 1,577.01 = 700.83 : x
  2. Step 2: Convert to fraction form
    1,143.09/1,577.01 = 700.83/x
  3. Step 3: Cross multiply
    1,143.09x = 1,577.01 × 700.83
  4. Step 4: Simplify right side
    1,143.09x = 1,105,215.92
  5. Step 5: Solve for x
    x = 1,105,215.92/1,143.09
  6. Step 6: Final answer
    x = 966.87

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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.