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Finding the Fourth Proportional to 1,091.53, 1,506.26 and 594.14

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Solution

The fourth proportional to 1,091.53, 1,506.26 and 594.14 is: 819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.53 : 1,506.26 = 594.14 : x
  2. Step 2: Convert to fraction form
    1,091.53/1,506.26 = 594.14/x
  3. Step 3: Cross multiply
    1,091.53x = 1,506.26 × 594.14
  4. Step 4: Simplify right side
    1,091.53x = 894,928.92
  5. Step 5: Solve for x
    x = 894,928.92/1,091.53
  6. Step 6: Final answer
    x = 819.88

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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.