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Finding the Fourth Proportional to 1,143.32, 1,714.96 and 277.63

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Solution

The fourth proportional to 1,143.32, 1,714.96 and 277.63 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.32 : 1,714.96 = 277.63 : x
  2. Step 2: Convert to fraction form
    1,143.32/1,714.96 = 277.63/x
  3. Step 3: Cross multiply
    1,143.32x = 1,714.96 × 277.63
  4. Step 4: Simplify right side
    1,143.32x = 476,124.34
  5. Step 5: Solve for x
    x = 476,124.34/1,143.32
  6. Step 6: Final answer
    x = 416.44

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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.