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Finding the Fourth Proportional to 1,689.60, 2,534.52 and 456.92

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Solution

The fourth proportional to 1,689.60, 2,534.52 and 456.92 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.60 : 2,534.52 = 456.92 : x
  2. Step 2: Convert to fraction form
    1,689.60/2,534.52 = 456.92/x
  3. Step 3: Cross multiply
    1,689.60x = 2,534.52 × 456.92
  4. Step 4: Simplify right side
    1,689.60x = 1,158,072.88
  5. Step 5: Solve for x
    x = 1,158,072.88/1,689.60
  6. Step 6: Final answer
    x = 685.41

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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.