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Finding the Fourth Proportional to 1,293.52, 1,939.10 and 600.01

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Solution

The fourth proportional to 1,293.52, 1,939.10 and 600.01 is: 899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.52 : 1,939.10 = 600.01 : x
  2. Step 2: Convert to fraction form
    1,293.52/1,939.10 = 600.01/x
  3. Step 3: Cross multiply
    1,293.52x = 1,939.10 × 600.01
  4. Step 4: Simplify right side
    1,293.52x = 1,163,469.70
  5. Step 5: Solve for x
    x = 1,163,469.70/1,293.52
  6. Step 6: Final answer
    x = 899.46

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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.