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Finding the Fourth Proportional to 1,066.84, 1,601.25 and 547.21

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Solution

The fourth proportional to 1,066.84, 1,601.25 and 547.21 is: 821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.84 : 1,601.25 = 547.21 : x
  2. Step 2: Convert to fraction form
    1,066.84/1,601.25 = 547.21/x
  3. Step 3: Cross multiply
    1,066.84x = 1,601.25 × 547.21
  4. Step 4: Simplify right side
    1,066.84x = 876,220.01
  5. Step 5: Solve for x
    x = 876,220.01/1,066.84
  6. Step 6: Final answer
    x = 821.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.