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Finding the Fourth Proportional to 1,257.53, 1,886.49 and 527.11

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Solution

The fourth proportional to 1,257.53, 1,886.49 and 527.11 is: 790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.53 : 1,886.49 = 527.11 : x
  2. Step 2: Convert to fraction form
    1,257.53/1,886.49 = 527.11/x
  3. Step 3: Cross multiply
    1,257.53x = 1,886.49 × 527.11
  4. Step 4: Simplify right side
    1,257.53x = 994,383.03
  5. Step 5: Solve for x
    x = 994,383.03/1,257.53
  6. Step 6: Final answer
    x = 790.75

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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.