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Finding the Fourth Proportional to 1,662.40, 2,493.69 and 688.57

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Solution

The fourth proportional to 1,662.40, 2,493.69 and 688.57 is: 1,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.40 : 2,493.69 = 688.57 : x
  2. Step 2: Convert to fraction form
    1,662.40/2,493.69 = 688.57/x
  3. Step 3: Cross multiply
    1,662.40x = 2,493.69 × 688.57
  4. Step 4: Simplify right side
    1,662.40x = 1,717,080.12
  5. Step 5: Solve for x
    x = 1,717,080.12/1,662.40
  6. Step 6: Final answer
    x = 1,032.89

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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.