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Finding the Fourth Proportional to 1,089.98, 1,504.07 and 617.85

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Solution

The fourth proportional to 1,089.98, 1,504.07 and 617.85 is: 852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.98 : 1,504.07 = 617.85 : x
  2. Step 2: Convert to fraction form
    1,089.98/1,504.07 = 617.85/x
  3. Step 3: Cross multiply
    1,089.98x = 1,504.07 × 617.85
  4. Step 4: Simplify right side
    1,089.98x = 929,289.65
  5. Step 5: Solve for x
    x = 929,289.65/1,089.98
  6. Step 6: Final answer
    x = 852.57

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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.