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Finding the Fourth Proportional to 1,257.64, 1,885.74 and 607.72

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Solution

The fourth proportional to 1,257.64, 1,885.74 and 607.72 is: 911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.64 : 1,885.74 = 607.72 : x
  2. Step 2: Convert to fraction form
    1,257.64/1,885.74 = 607.72/x
  3. Step 3: Cross multiply
    1,257.64x = 1,885.74 × 607.72
  4. Step 4: Simplify right side
    1,257.64x = 1,146,001.91
  5. Step 5: Solve for x
    x = 1,146,001.91/1,257.64
  6. Step 6: Final answer
    x = 911.23

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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.