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Finding the Fourth Proportional to 1,687.42, 2,529.92 and 646.54

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Solution

The fourth proportional to 1,687.42, 2,529.92 and 646.54 is: 969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.42 : 2,529.92 = 646.54 : x
  2. Step 2: Convert to fraction form
    1,687.42/2,529.92 = 646.54/x
  3. Step 3: Cross multiply
    1,687.42x = 2,529.92 × 646.54
  4. Step 4: Simplify right side
    1,687.42x = 1,635,689.77
  5. Step 5: Solve for x
    x = 1,635,689.77/1,687.42
  6. Step 6: Final answer
    x = 969.35

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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.