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Finding the Fourth Proportional to 1,754.66, 2,631.99 and 456.13

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Solution

The fourth proportional to 1,754.66, 2,631.99 and 456.13 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.66 : 2,631.99 = 456.13 : x
  2. Step 2: Convert to fraction form
    1,754.66/2,631.99 = 456.13/x
  3. Step 3: Cross multiply
    1,754.66x = 2,631.99 × 456.13
  4. Step 4: Simplify right side
    1,754.66x = 1,200,514.16
  5. Step 5: Solve for x
    x = 1,200,514.16/1,754.66
  6. Step 6: Final answer
    x = 684.19

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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.