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Finding the Fourth Proportional to 990.06, 1,366.07 and 597.07

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Solution

The fourth proportional to 990.06, 1,366.07 and 597.07 is: 823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.06 : 1,366.07 = 597.07 : x
  2. Step 2: Convert to fraction form
    990.06/1,366.07 = 597.07/x
  3. Step 3: Cross multiply
    990.06x = 1,366.07 × 597.07
  4. Step 4: Simplify right side
    990.06x = 815,638.14
  5. Step 5: Solve for x
    x = 815,638.14/990.06
  6. Step 6: Final answer
    x = 823.83

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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.