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Finding the Fourth Proportional to 1,687.08, 2,530.20 and 532.56

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Solution

The fourth proportional to 1,687.08, 2,530.20 and 532.56 is: 798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.08 : 2,530.20 = 532.56 : x
  2. Step 2: Convert to fraction form
    1,687.08/2,530.20 = 532.56/x
  3. Step 3: Cross multiply
    1,687.08x = 2,530.20 × 532.56
  4. Step 4: Simplify right side
    1,687.08x = 1,347,483.31
  5. Step 5: Solve for x
    x = 1,347,483.31/1,687.08
  6. Step 6: Final answer
    x = 798.71

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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.