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Finding the Fourth Proportional to 901.61, 1,351.79 and 462.01

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Solution

The fourth proportional to 901.61, 1,351.79 and 462.01 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.61 : 1,351.79 = 462.01 : x
  2. Step 2: Convert to fraction form
    901.61/1,351.79 = 462.01/x
  3. Step 3: Cross multiply
    901.61x = 1,351.79 × 462.01
  4. Step 4: Simplify right side
    901.61x = 624,531.43
  5. Step 5: Solve for x
    x = 624,531.43/901.61
  6. Step 6: Final answer
    x = 692.69

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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.