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Finding the Fourth Proportional to 821.13, 1,133.13 and 467.07

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Solution

The fourth proportional to 821.13, 1,133.13 and 467.07 is: 644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.13 : 1,133.13 = 467.07 : x
  2. Step 2: Convert to fraction form
    821.13/1,133.13 = 467.07/x
  3. Step 3: Cross multiply
    821.13x = 1,133.13 × 467.07
  4. Step 4: Simplify right side
    821.13x = 529,251.03
  5. Step 5: Solve for x
    x = 529,251.03/821.13
  6. Step 6: Final answer
    x = 644.54

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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.