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Finding the Fourth Proportional to 1,143.86, 1,714.77 and 403.36

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Solution

The fourth proportional to 1,143.86, 1,714.77 and 403.36 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.86 : 1,714.77 = 403.36 : x
  2. Step 2: Convert to fraction form
    1,143.86/1,714.77 = 403.36/x
  3. Step 3: Cross multiply
    1,143.86x = 1,714.77 × 403.36
  4. Step 4: Simplify right side
    1,143.86x = 691,665.34
  5. Step 5: Solve for x
    x = 691,665.34/1,143.86
  6. Step 6: Final answer
    x = 604.68

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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.