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Finding the Fourth Proportional to 997.54, 1,495.01 and 535.50

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Solution

The fourth proportional to 997.54, 1,495.01 and 535.50 is: 802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.54 : 1,495.01 = 535.50 : x
  2. Step 2: Convert to fraction form
    997.54/1,495.01 = 535.50/x
  3. Step 3: Cross multiply
    997.54x = 1,495.01 × 535.50
  4. Step 4: Simplify right side
    997.54x = 800,579.19
  5. Step 5: Solve for x
    x = 800,579.19/997.54
  6. Step 6: Final answer
    x = 802.56

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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.