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Finding the Fourth Proportional to 1,068.11, 1,601.91 and 547.84

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Solution

The fourth proportional to 1,068.11, 1,601.91 and 547.84 is: 821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.11 : 1,601.91 = 547.84 : x
  2. Step 2: Convert to fraction form
    1,068.11/1,601.91 = 547.84/x
  3. Step 3: Cross multiply
    1,068.11x = 1,601.91 × 547.84
  4. Step 4: Simplify right side
    1,068.11x = 877,587.64
  5. Step 5: Solve for x
    x = 877,587.64/1,068.11
  6. Step 6: Final answer
    x = 821.63

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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.