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Finding the Fourth Proportional to 1,154.67, 1,593.21 and 657.21

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Solution

The fourth proportional to 1,154.67, 1,593.21 and 657.21 is: 906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.67 : 1,593.21 = 657.21 : x
  2. Step 2: Convert to fraction form
    1,154.67/1,593.21 = 657.21/x
  3. Step 3: Cross multiply
    1,154.67x = 1,593.21 × 657.21
  4. Step 4: Simplify right side
    1,154.67x = 1,047,073.54
  5. Step 5: Solve for x
    x = 1,047,073.54/1,154.67
  6. Step 6: Final answer
    x = 906.82

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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.