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Finding the Fourth Proportional to 1,593.63, 2,388.29 and 770.27

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Solution

The fourth proportional to 1,593.63, 2,388.29 and 770.27 is: 1,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.63 : 2,388.29 = 770.27 : x
  2. Step 2: Convert to fraction form
    1,593.63/2,388.29 = 770.27/x
  3. Step 3: Cross multiply
    1,593.63x = 2,388.29 × 770.27
  4. Step 4: Simplify right side
    1,593.63x = 1,839,612.35
  5. Step 5: Solve for x
    x = 1,839,612.35/1,593.63
  6. Step 6: Final answer
    x = 1,154.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.