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Finding the Fourth Proportional to 997.44, 1,495.72 and 535.14

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Solution

The fourth proportional to 997.44, 1,495.72 and 535.14 is: 802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.44 : 1,495.72 = 535.14 : x
  2. Step 2: Convert to fraction form
    997.44/1,495.72 = 535.14/x
  3. Step 3: Cross multiply
    997.44x = 1,495.72 × 535.14
  4. Step 4: Simplify right side
    997.44x = 800,419.60
  5. Step 5: Solve for x
    x = 800,419.60/997.44
  6. Step 6: Final answer
    x = 802.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.