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Finding the Fourth Proportional to 821.22, 1,132.53 and 739.22

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Solution

The fourth proportional to 821.22, 1,132.53 and 739.22 is: 1,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.22 : 1,132.53 = 739.22 : x
  2. Step 2: Convert to fraction form
    821.22/1,132.53 = 739.22/x
  3. Step 3: Cross multiply
    821.22x = 1,132.53 × 739.22
  4. Step 4: Simplify right side
    821.22x = 837,183.16
  5. Step 5: Solve for x
    x = 837,183.16/821.22
  6. Step 6: Final answer
    x = 1,019.44

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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.