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Finding the Fourth Proportional to 990.02, 1,365.57 and 596.63

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Solution

The fourth proportional to 990.02, 1,365.57 and 596.63 is: 822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.02 : 1,365.57 = 596.63 : x
  2. Step 2: Convert to fraction form
    990.02/1,365.57 = 596.63/x
  3. Step 3: Cross multiply
    990.02x = 1,365.57 × 596.63
  4. Step 4: Simplify right side
    990.02x = 814,740.03
  5. Step 5: Solve for x
    x = 814,740.03/990.02
  6. Step 6: Final answer
    x = 822.95

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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.