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Finding the Fourth Proportional to 990.64, 1,366.86 and 597.65

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Solution

The fourth proportional to 990.64, 1,366.86 and 597.65 is: 824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.64 : 1,366.86 = 597.65 : x
  2. Step 2: Convert to fraction form
    990.64/1,366.86 = 597.65/x
  3. Step 3: Cross multiply
    990.64x = 1,366.86 × 597.65
  4. Step 4: Simplify right side
    990.64x = 816,903.88
  5. Step 5: Solve for x
    x = 816,903.88/990.64
  6. Step 6: Final answer
    x = 824.63

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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.