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Finding the Fourth Proportional to 1,088.98, 1,629.38 and 853.88

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Solution

The fourth proportional to 1,088.98, 1,629.38 and 853.88 is: 1,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.98 : 1,629.38 = 853.88 : x
  2. Step 2: Convert to fraction form
    1,088.98/1,629.38 = 853.88/x
  3. Step 3: Cross multiply
    1,088.98x = 1,629.38 × 853.88
  4. Step 4: Simplify right side
    1,088.98x = 1,391,288.98
  5. Step 5: Solve for x
    x = 1,391,288.98/1,088.98
  6. Step 6: Final answer
    x = 1,277.61

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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.