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Finding the Fourth Proportional to 1,145.39, 1,714.68 and 754.65

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Solution

The fourth proportional to 1,145.39, 1,714.68 and 754.65 is: 1,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.39 : 1,714.68 = 754.65 : x
  2. Step 2: Convert to fraction form
    1,145.39/1,714.68 = 754.65/x
  3. Step 3: Cross multiply
    1,145.39x = 1,714.68 × 754.65
  4. Step 4: Simplify right side
    1,145.39x = 1,293,983.26
  5. Step 5: Solve for x
    x = 1,293,983.26/1,145.39
  6. Step 6: Final answer
    x = 1,129.74

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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.