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Finding the Fourth Proportional to 1,162.22, 1,603.11 and 742.70

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Solution

The fourth proportional to 1,162.22, 1,603.11 and 742.70 is: 1,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.22 : 1,603.11 = 742.70 : x
  2. Step 2: Convert to fraction form
    1,162.22/1,603.11 = 742.70/x
  3. Step 3: Cross multiply
    1,162.22x = 1,603.11 × 742.70
  4. Step 4: Simplify right side
    1,162.22x = 1,190,629.80
  5. Step 5: Solve for x
    x = 1,190,629.80/1,162.22
  6. Step 6: Final answer
    x = 1,024.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.