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Finding the Fourth Proportional to 901.60, 1,351.38 and 535.72

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Solution

The fourth proportional to 901.60, 1,351.38 and 535.72 is: 802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.60 : 1,351.38 = 535.72 : x
  2. Step 2: Convert to fraction form
    901.60/1,351.38 = 535.72/x
  3. Step 3: Cross multiply
    901.60x = 1,351.38 × 535.72
  4. Step 4: Simplify right side
    901.60x = 723,961.29
  5. Step 5: Solve for x
    x = 723,961.29/901.60
  6. Step 6: Final answer
    x = 802.97

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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.