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Finding the Fourth Proportional to 990.01, 1,366.02 and 597.06

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Solution

The fourth proportional to 990.01, 1,366.02 and 597.06 is: 823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.01 : 1,366.02 = 597.06 : x
  2. Step 2: Convert to fraction form
    990.01/1,366.02 = 597.06/x
  3. Step 3: Cross multiply
    990.01x = 1,366.02 × 597.06
  4. Step 4: Simplify right side
    990.01x = 815,589.07
  5. Step 5: Solve for x
    x = 815,589.07/990.01
  6. Step 6: Final answer
    x = 823.82

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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.