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Finding the Fourth Proportional to 1,260.61, 1,735.67 and 1,143.84

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Solution

The fourth proportional to 1,260.61, 1,735.67 and 1,143.84 is: 1,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.61 : 1,735.67 = 1,143.84 : x
  2. Step 2: Convert to fraction form
    1,260.61/1,735.67 = 1,143.84/x
  3. Step 3: Cross multiply
    1,260.61x = 1,735.67 × 1,143.84
  4. Step 4: Simplify right side
    1,260.61x = 1,985,321.57
  5. Step 5: Solve for x
    x = 1,985,321.57/1,260.61
  6. Step 6: Final answer
    x = 1,574.89

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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.