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Finding the Fourth Proportional to 990.54, 1,366.74 and 597.60

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Solution

The fourth proportional to 990.54, 1,366.74 and 597.60 is: 824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.54 : 1,366.74 = 597.60 : x
  2. Step 2: Convert to fraction form
    990.54/1,366.74 = 597.60/x
  3. Step 3: Cross multiply
    990.54x = 1,366.74 × 597.60
  4. Step 4: Simplify right side
    990.54x = 816,763.82
  5. Step 5: Solve for x
    x = 816,763.82/990.54
  6. Step 6: Final answer
    x = 824.56

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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.