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Finding the Fourth Proportional to 1,143.08, 1,714.61 and 412.64

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Solution

The fourth proportional to 1,143.08, 1,714.61 and 412.64 is: 618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.08 : 1,714.61 = 412.64 : x
  2. Step 2: Convert to fraction form
    1,143.08/1,714.61 = 412.64/x
  3. Step 3: Cross multiply
    1,143.08x = 1,714.61 × 412.64
  4. Step 4: Simplify right side
    1,143.08x = 707,516.67
  5. Step 5: Solve for x
    x = 707,516.67/1,143.08
  6. Step 6: Final answer
    x = 618.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.