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Finding the Fourth Proportional to 1,592.24, 2,388.88 and 770.56

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Solution

The fourth proportional to 1,592.24, 2,388.88 and 770.56 is: 1,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.24 : 2,388.88 = 770.56 : x
  2. Step 2: Convert to fraction form
    1,592.24/2,388.88 = 770.56/x
  3. Step 3: Cross multiply
    1,592.24x = 2,388.88 × 770.56
  4. Step 4: Simplify right side
    1,592.24x = 1,840,775.37
  5. Step 5: Solve for x
    x = 1,840,775.37/1,592.24
  6. Step 6: Final answer
    x = 1,156.09

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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.