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Finding the Fourth Proportional to 1,257.19, 1,885.67 and 848.95

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Solution

The fourth proportional to 1,257.19, 1,885.67 and 848.95 is: 1,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.19 : 1,885.67 = 848.95 : x
  2. Step 2: Convert to fraction form
    1,257.19/1,885.67 = 848.95/x
  3. Step 3: Cross multiply
    1,257.19x = 1,885.67 × 848.95
  4. Step 4: Simplify right side
    1,257.19x = 1,600,839.55
  5. Step 5: Solve for x
    x = 1,600,839.55/1,257.19
  6. Step 6: Final answer
    x = 1,273.35

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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.