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Finding the Fourth Proportional to 1,508.78, 2,261.55 and 631.06

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Solution

The fourth proportional to 1,508.78, 2,261.55 and 631.06 is: 945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.78 : 2,261.55 = 631.06 : x
  2. Step 2: Convert to fraction form
    1,508.78/2,261.55 = 631.06/x
  3. Step 3: Cross multiply
    1,508.78x = 2,261.55 × 631.06
  4. Step 4: Simplify right side
    1,508.78x = 1,427,162.44
  5. Step 5: Solve for x
    x = 1,427,162.44/1,508.78
  6. Step 6: Final answer
    x = 945.91

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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.