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Finding the Fourth Proportional to 1,689.51, 2,534.25 and 456.92

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Solution

The fourth proportional to 1,689.51, 2,534.25 and 456.92 is: 685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.51 : 2,534.25 = 456.92 : x
  2. Step 2: Convert to fraction form
    1,689.51/2,534.25 = 456.92/x
  3. Step 3: Cross multiply
    1,689.51x = 2,534.25 × 456.92
  4. Step 4: Simplify right side
    1,689.51x = 1,157,940.93
  5. Step 5: Solve for x
    x = 1,157,940.93/1,689.51
  6. Step 6: Final answer
    x = 685.37

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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.