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Finding the Fourth Proportional to 1,265.88, 1,898.84 and 341.44

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Solution

The fourth proportional to 1,265.88, 1,898.84 and 341.44 is: 512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.88 : 1,898.84 = 341.44 : x
  2. Step 2: Convert to fraction form
    1,265.88/1,898.84 = 341.44/x
  3. Step 3: Cross multiply
    1,265.88x = 1,898.84 × 341.44
  4. Step 4: Simplify right side
    1,265.88x = 648,339.93
  5. Step 5: Solve for x
    x = 648,339.93/1,265.88
  6. Step 6: Final answer
    x = 512.17

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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.