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Finding the Fourth Proportional to 1,235.58, 1,701.67 and 1,143.24

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Solution

The fourth proportional to 1,235.58, 1,701.67 and 1,143.24 is: 1,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.58 : 1,701.67 = 1,143.24 : x
  2. Step 2: Convert to fraction form
    1,235.58/1,701.67 = 1,143.24/x
  3. Step 3: Cross multiply
    1,235.58x = 1,701.67 × 1,143.24
  4. Step 4: Simplify right side
    1,235.58x = 1,945,414.35
  5. Step 5: Solve for x
    x = 1,945,414.35/1,235.58
  6. Step 6: Final answer
    x = 1,574.49

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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.