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Finding the Fourth Proportional to 1,257.07, 1,885.61 and 983.39

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Solution

The fourth proportional to 1,257.07, 1,885.61 and 983.39 is: 1,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.07 : 1,885.61 = 983.39 : x
  2. Step 2: Convert to fraction form
    1,257.07/1,885.61 = 983.39/x
  3. Step 3: Cross multiply
    1,257.07x = 1,885.61 × 983.39
  4. Step 4: Simplify right side
    1,257.07x = 1,854,293.65
  5. Step 5: Solve for x
    x = 1,854,293.65/1,257.07
  6. Step 6: Final answer
    x = 1,475.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.