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Finding the Fourth Proportional to 1,663.40, 2,493.30 and 688.16

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Solution

The fourth proportional to 1,663.40, 2,493.30 and 688.16 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.40 : 2,493.30 = 688.16 : x
  2. Step 2: Convert to fraction form
    1,663.40/2,493.30 = 688.16/x
  3. Step 3: Cross multiply
    1,663.40x = 2,493.30 × 688.16
  4. Step 4: Simplify right side
    1,663.40x = 1,715,789.33
  5. Step 5: Solve for x
    x = 1,715,789.33/1,663.40
  6. Step 6: Final answer
    x = 1,031.50

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1.5x scale

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.