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Finding the Fourth Proportional to 755.24, 1,132.14 and 413

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Solution

The fourth proportional to 755.24, 1,132.14 and 413 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.24 : 1,132.14 = 413 : x
  2. Step 2: Convert to fraction form
    755.24/1,132.14 = 413/x
  3. Step 3: Cross multiply
    755.24x = 1,132.14 × 413
  4. Step 4: Simplify right side
    755.24x = 467,573.82
  5. Step 5: Solve for x
    x = 467,573.82/755.24
  6. Step 6: Final answer
    x = 619.11

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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.