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Finding the Fourth Proportional to 1,154.34, 1,593.18 and 1,084.05

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Solution

The fourth proportional to 1,154.34, 1,593.18 and 1,084.05 is: 1,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.34 : 1,593.18 = 1,084.05 : x
  2. Step 2: Convert to fraction form
    1,154.34/1,593.18 = 1,084.05/x
  3. Step 3: Cross multiply
    1,154.34x = 1,593.18 × 1,084.05
  4. Step 4: Simplify right side
    1,154.34x = 1,727,086.78
  5. Step 5: Solve for x
    x = 1,727,086.78/1,154.34
  6. Step 6: Final answer
    x = 1,496.17

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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.