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Finding the Fourth Proportional to 755.53, 1,133.06 and 513.61

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Solution

The fourth proportional to 755.53, 1,133.06 and 513.61 is: 770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.53 : 1,133.06 = 513.61 : x
  2. Step 2: Convert to fraction form
    755.53/1,133.06 = 513.61/x
  3. Step 3: Cross multiply
    755.53x = 1,133.06 × 513.61
  4. Step 4: Simplify right side
    755.53x = 581,948.38
  5. Step 5: Solve for x
    x = 581,948.38/755.53
  6. Step 6: Final answer
    x = 770.25

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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.