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Finding the Fourth Proportional to 990.23, 1,363.23 and 842.00

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Solution

The fourth proportional to 990.23, 1,363.23 and 842.00 is: 1,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.23 : 1,363.23 = 842.00 : x
  2. Step 2: Convert to fraction form
    990.23/1,363.23 = 842.00/x
  3. Step 3: Cross multiply
    990.23x = 1,363.23 × 842.00
  4. Step 4: Simplify right side
    990.23x = 1,147,832.84
  5. Step 5: Solve for x
    x = 1,147,832.84/990.23
  6. Step 6: Final answer
    x = 1,159.16

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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.