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Finding the Fourth Proportional to 990.64, 1,367.32 and 597.40

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Solution

The fourth proportional to 990.64, 1,367.32 and 597.40 is: 824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.64 : 1,367.32 = 597.40 : x
  2. Step 2: Convert to fraction form
    990.64/1,367.32 = 597.40/x
  3. Step 3: Cross multiply
    990.64x = 1,367.32 × 597.40
  4. Step 4: Simplify right side
    990.64x = 816,836.97
  5. Step 5: Solve for x
    x = 816,836.97/990.64
  6. Step 6: Final answer
    x = 824.55

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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.