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Finding the Fourth Proportional to 1,672.89, 2,509.57 and 698.77

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Solution

The fourth proportional to 1,672.89, 2,509.57 and 698.77 is: 1,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.89 : 2,509.57 = 698.77 : x
  2. Step 2: Convert to fraction form
    1,672.89/2,509.57 = 698.77/x
  3. Step 3: Cross multiply
    1,672.89x = 2,509.57 × 698.77
  4. Step 4: Simplify right side
    1,672.89x = 1,753,612.23
  5. Step 5: Solve for x
    x = 1,753,612.23/1,672.89
  6. Step 6: Final answer
    x = 1,048.25

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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.