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Finding the Fourth Proportional to 990.77, 1,484.93 and 827.96

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Solution

The fourth proportional to 990.77, 1,484.93 and 827.96 is: 1,240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.77 : 1,484.93 = 827.96 : x
  2. Step 2: Convert to fraction form
    990.77/1,484.93 = 827.96/x
  3. Step 3: Cross multiply
    990.77x = 1,484.93 × 827.96
  4. Step 4: Simplify right side
    990.77x = 1,229,457.29
  5. Step 5: Solve for x
    x = 1,229,457.29/990.77
  6. Step 6: Final answer
    x = 1,240.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.