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Finding the Fourth Proportional to 1,259.38, 1,889.34 and 393.76

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Solution

The fourth proportional to 1,259.38, 1,889.34 and 393.76 is: 590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.38 : 1,889.34 = 393.76 : x
  2. Step 2: Convert to fraction form
    1,259.38/1,889.34 = 393.76/x
  3. Step 3: Cross multiply
    1,259.38x = 1,889.34 × 393.76
  4. Step 4: Simplify right side
    1,259.38x = 743,946.52
  5. Step 5: Solve for x
    x = 743,946.52/1,259.38
  6. Step 6: Final answer
    x = 590.72

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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.