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Finding the Fourth Proportional to 1,154.77, 1,593.19 and 657.29

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Solution

The fourth proportional to 1,154.77, 1,593.19 and 657.29 is: 906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.77 : 1,593.19 = 657.29 : x
  2. Step 2: Convert to fraction form
    1,154.77/1,593.19 = 657.29/x
  3. Step 3: Cross multiply
    1,154.77x = 1,593.19 × 657.29
  4. Step 4: Simplify right side
    1,154.77x = 1,047,183.87
  5. Step 5: Solve for x
    x = 1,047,183.87/1,154.77
  6. Step 6: Final answer
    x = 906.83

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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.