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Finding the Fourth Proportional to 837.02, 1,253.99 and 653.52

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Solution

The fourth proportional to 837.02, 1,253.99 and 653.52 is: 979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.02 : 1,253.99 = 653.52 : x
  2. Step 2: Convert to fraction form
    837.02/1,253.99 = 653.52/x
  3. Step 3: Cross multiply
    837.02x = 1,253.99 × 653.52
  4. Step 4: Simplify right side
    837.02x = 819,507.54
  5. Step 5: Solve for x
    x = 819,507.54/837.02
  6. Step 6: Final answer
    x = 979.08

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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.