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Finding the Fourth Proportional to 1,143.15, 1,714.31 and 412.53

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Solution

The fourth proportional to 1,143.15, 1,714.31 and 412.53 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.15 : 1,714.31 = 412.53 : x
  2. Step 2: Convert to fraction form
    1,143.15/1,714.31 = 412.53/x
  3. Step 3: Cross multiply
    1,143.15x = 1,714.31 × 412.53
  4. Step 4: Simplify right side
    1,143.15x = 707,204.30
  5. Step 5: Solve for x
    x = 707,204.30/1,143.15
  6. Step 6: Final answer
    x = 618.65

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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.