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Finding the Fourth Proportional to 901.94, 1,352.30 and 439.83

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Solution

The fourth proportional to 901.94, 1,352.30 and 439.83 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.94 : 1,352.30 = 439.83 : x
  2. Step 2: Convert to fraction form
    901.94/1,352.30 = 439.83/x
  3. Step 3: Cross multiply
    901.94x = 1,352.30 × 439.83
  4. Step 4: Simplify right side
    901.94x = 594,779.91
  5. Step 5: Solve for x
    x = 594,779.91/901.94
  6. Step 6: Final answer
    x = 659.45

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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.