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Finding the Fourth Proportional to 1,091.82, 1,505.07 and 698.70

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Solution

The fourth proportional to 1,091.82, 1,505.07 and 698.70 is: 963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.82 : 1,505.07 = 698.70 : x
  2. Step 2: Convert to fraction form
    1,091.82/1,505.07 = 698.70/x
  3. Step 3: Cross multiply
    1,091.82x = 1,505.07 × 698.70
  4. Step 4: Simplify right side
    1,091.82x = 1,051,592.41
  5. Step 5: Solve for x
    x = 1,051,592.41/1,091.82
  6. Step 6: Final answer
    x = 963.16

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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.