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Finding the Fourth Proportional to 1,154.62, 1,593.07 and 657.19

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Solution

The fourth proportional to 1,154.62, 1,593.07 and 657.19 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.62 : 1,593.07 = 657.19 : x
  2. Step 2: Convert to fraction form
    1,154.62/1,593.07 = 657.19/x
  3. Step 3: Cross multiply
    1,154.62x = 1,593.07 × 657.19
  4. Step 4: Simplify right side
    1,154.62x = 1,046,949.67
  5. Step 5: Solve for x
    x = 1,046,949.67/1,154.62
  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.