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Finding the Fourth Proportional to 990.50, 1,367.01 and 597.53

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Solution

The fourth proportional to 990.50, 1,367.01 and 597.53 is: 824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.50 : 1,367.01 = 597.53 : x
  2. Step 2: Convert to fraction form
    990.50/1,367.01 = 597.53/x
  3. Step 3: Cross multiply
    990.50x = 1,367.01 × 597.53
  4. Step 4: Simplify right side
    990.50x = 816,832.90
  5. Step 5: Solve for x
    x = 816,832.90/990.50
  6. Step 6: Final answer
    x = 824.67

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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.