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Finding the Fourth Proportional to 990.36, 1,366.86 and 824.32

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Solution

The fourth proportional to 990.36, 1,366.86 and 824.32 is: 1,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.36 : 1,366.86 = 824.32 : x
  2. Step 2: Convert to fraction form
    990.36/1,366.86 = 824.32/x
  3. Step 3: Cross multiply
    990.36x = 1,366.86 × 824.32
  4. Step 4: Simplify right side
    990.36x = 1,126,730.04
  5. Step 5: Solve for x
    x = 1,126,730.04/990.36
  6. Step 6: Final answer
    x = 1,137.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.