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Finding the Fourth Proportional to 1,143.16, 1,714.83 and 412.96

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Solution

The fourth proportional to 1,143.16, 1,714.83 and 412.96 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.16 : 1,714.83 = 412.96 : x
  2. Step 2: Convert to fraction form
    1,143.16/1,714.83 = 412.96/x
  3. Step 3: Cross multiply
    1,143.16x = 1,714.83 × 412.96
  4. Step 4: Simplify right side
    1,143.16x = 708,156.20
  5. Step 5: Solve for x
    x = 708,156.20/1,143.16
  6. Step 6: Final answer
    x = 619.47

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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.