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Finding the Fourth Proportional to 990.47, 1,367.03 and 597.71

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Solution

The fourth proportional to 990.47, 1,367.03 and 597.71 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.47 : 1,367.03 = 597.71 : x
  2. Step 2: Convert to fraction form
    990.47/1,367.03 = 597.71/x
  3. Step 3: Cross multiply
    990.47x = 1,367.03 × 597.71
  4. Step 4: Simplify right side
    990.47x = 817,087.50
  5. Step 5: Solve for x
    x = 817,087.50/990.47
  6. Step 6: Final answer
    x = 824.95

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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.