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Finding the Fourth Proportional to 990.76, 1,367.20 and 597.72

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Solution

The fourth proportional to 990.76, 1,367.20 and 597.72 is: 824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.76 : 1,367.20 = 597.72 : x
  2. Step 2: Convert to fraction form
    990.76/1,367.20 = 597.72/x
  3. Step 3: Cross multiply
    990.76x = 1,367.20 × 597.72
  4. Step 4: Simplify right side
    990.76x = 817,202.78
  5. Step 5: Solve for x
    x = 817,202.78/990.76
  6. Step 6: Final answer
    x = 824.82

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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.