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Finding the Fourth Proportional to 1,091.70, 1,506.56 and 594.34

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Solution

The fourth proportional to 1,091.70, 1,506.56 and 594.34 is: 820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.70 : 1,506.56 = 594.34 : x
  2. Step 2: Convert to fraction form
    1,091.70/1,506.56 = 594.34/x
  3. Step 3: Cross multiply
    1,091.70x = 1,506.56 × 594.34
  4. Step 4: Simplify right side
    1,091.70x = 895,410.61
  5. Step 5: Solve for x
    x = 895,410.61/1,091.70
  6. Step 6: Final answer
    x = 820.20

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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.