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Finding the Fourth Proportional to 1,007.82, 1,509.30 and 698.85

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Solution

The fourth proportional to 1,007.82, 1,509.30 and 698.85 is: 1,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.82 : 1,509.30 = 698.85 : x
  2. Step 2: Convert to fraction form
    1,007.82/1,509.30 = 698.85/x
  3. Step 3: Cross multiply
    1,007.82x = 1,509.30 × 698.85
  4. Step 4: Simplify right side
    1,007.82x = 1,054,774.31
  5. Step 5: Solve for x
    x = 1,054,774.31/1,007.82
  6. Step 6: Final answer
    x = 1,046.59

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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.