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Finding the Fourth Proportional to 901.99, 1,351.36 and 467.83

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Solution

The fourth proportional to 901.99, 1,351.36 and 467.83 is: 700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.99 : 1,351.36 = 467.83 : x
  2. Step 2: Convert to fraction form
    901.99/1,351.36 = 467.83/x
  3. Step 3: Cross multiply
    901.99x = 1,351.36 × 467.83
  4. Step 4: Simplify right side
    901.99x = 632,206.75
  5. Step 5: Solve for x
    x = 632,206.75/901.99
  6. Step 6: Final answer
    x = 700.90

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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.