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Finding the Fourth Proportional to 1,005.31, 1,508.82 and 639.01

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Solution

The fourth proportional to 1,005.31, 1,508.82 and 639.01 is: 959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.31 : 1,508.82 = 639.01 : x
  2. Step 2: Convert to fraction form
    1,005.31/1,508.82 = 639.01/x
  3. Step 3: Cross multiply
    1,005.31x = 1,508.82 × 639.01
  4. Step 4: Simplify right side
    1,005.31x = 964,151.07
  5. Step 5: Solve for x
    x = 964,151.07/1,005.31
  6. Step 6: Final answer
    x = 959.06

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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.