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Finding the Fourth Proportional to 1,663.68, 2,494.47 and 688.56

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Solution

The fourth proportional to 1,663.68, 2,494.47 and 688.56 is: 1,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.68 : 2,494.47 = 688.56 : x
  2. Step 2: Convert to fraction form
    1,663.68/2,494.47 = 688.56/x
  3. Step 3: Cross multiply
    1,663.68x = 2,494.47 × 688.56
  4. Step 4: Simplify right side
    1,663.68x = 1,717,592.26
  5. Step 5: Solve for x
    x = 1,717,592.26/1,663.68
  6. Step 6: Final answer
    x = 1,032.41

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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.