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Finding the Fourth Proportional to 1,392.09, 2,089.16 and 698.57

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Solution

The fourth proportional to 1,392.09, 2,089.16 and 698.57 is: 1,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.09 : 2,089.16 = 698.57 : x
  2. Step 2: Convert to fraction form
    1,392.09/2,089.16 = 698.57/x
  3. Step 3: Cross multiply
    1,392.09x = 2,089.16 × 698.57
  4. Step 4: Simplify right side
    1,392.09x = 1,459,424.50
  5. Step 5: Solve for x
    x = 1,459,424.50/1,392.09
  6. Step 6: Final answer
    x = 1,048.37

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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.