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Finding the Fourth Proportional to 990.37, 1,366.50 and 592.02

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Solution

The fourth proportional to 990.37, 1,366.50 and 592.02 is: 816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.37 : 1,366.50 = 592.02 : x
  2. Step 2: Convert to fraction form
    990.37/1,366.50 = 592.02/x
  3. Step 3: Cross multiply
    990.37x = 1,366.50 × 592.02
  4. Step 4: Simplify right side
    990.37x = 808,997.55
  5. Step 5: Solve for x
    x = 808,997.55/990.37
  6. Step 6: Final answer
    x = 816.86

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