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Finding the Fourth Proportional to 790.02, 1,083.60 and 752.22

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Solution

The fourth proportional to 790.02, 1,083.60 and 752.22 is: 1,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.02 : 1,083.60 = 752.22 : x
  2. Step 2: Convert to fraction form
    790.02/1,083.60 = 752.22/x
  3. Step 3: Cross multiply
    790.02x = 1,083.60 × 752.22
  4. Step 4: Simplify right side
    790.02x = 815,105.59
  5. Step 5: Solve for x
    x = 815,105.59/790.02
  6. Step 6: Final answer
    x = 1,031.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.