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Finding the Fourth Proportional to 755.70, 1,133.85 and 610.80

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Solution

The fourth proportional to 755.70, 1,133.85 and 610.80 is: 916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.70 : 1,133.85 = 610.80 : x
  2. Step 2: Convert to fraction form
    755.70/1,133.85 = 610.80/x
  3. Step 3: Cross multiply
    755.70x = 1,133.85 × 610.80
  4. Step 4: Simplify right side
    755.70x = 692,555.36
  5. Step 5: Solve for x
    x = 692,555.36/755.70
  6. Step 6: Final answer
    x = 916.44

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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.