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Finding the Fourth Proportional to 1,154.41, 1,593.03 and 657.09

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Solution

The fourth proportional to 1,154.41, 1,593.03 and 657.09 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.41 : 1,593.03 = 657.09 : x
  2. Step 2: Convert to fraction form
    1,154.41/1,593.03 = 657.09/x
  3. Step 3: Cross multiply
    1,154.41x = 1,593.03 × 657.09
  4. Step 4: Simplify right side
    1,154.41x = 1,046,764.08
  5. Step 5: Solve for x
    x = 1,046,764.08/1,154.41
  6. Step 6: Final answer
    x = 906.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.