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Finding the Fourth Proportional to 833.36, 1,241.64 and 821.48

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Solution

The fourth proportional to 833.36, 1,241.64 and 821.48 is: 1,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.36 : 1,241.64 = 821.48 : x
  2. Step 2: Convert to fraction form
    833.36/1,241.64 = 821.48/x
  3. Step 3: Cross multiply
    833.36x = 1,241.64 × 821.48
  4. Step 4: Simplify right side
    833.36x = 1,019,982.43
  5. Step 5: Solve for x
    x = 1,019,982.43/833.36
  6. Step 6: Final answer
    x = 1,223.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.