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Finding the Fourth Proportional to 1,305.91, 1,962.51 and 999.73

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Solution

The fourth proportional to 1,305.91, 1,962.51 and 999.73 is: 1,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.91 : 1,962.51 = 999.73 : x
  2. Step 2: Convert to fraction form
    1,305.91/1,962.51 = 999.73/x
  3. Step 3: Cross multiply
    1,305.91x = 1,962.51 × 999.73
  4. Step 4: Simplify right side
    1,305.91x = 1,961,980.12
  5. Step 5: Solve for x
    x = 1,961,980.12/1,305.91
  6. Step 6: Final answer
    x = 1,502.39

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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.