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Finding the Fourth Proportional to 822.06, 1,134.06 and 527.22

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Solution

The fourth proportional to 822.06, 1,134.06 and 527.22 is: 727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.06 : 1,134.06 = 527.22 : x
  2. Step 2: Convert to fraction form
    822.06/1,134.06 = 527.22/x
  3. Step 3: Cross multiply
    822.06x = 1,134.06 × 527.22
  4. Step 4: Simplify right side
    822.06x = 597,899.11
  5. Step 5: Solve for x
    x = 597,899.11/822.06
  6. Step 6: Final answer
    x = 727.32

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Double scale
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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.