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Finding the Fourth Proportional to 853.89, 1,283.69 and 700.95

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Solution

The fourth proportional to 853.89, 1,283.69 and 700.95 is: 1,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.89 : 1,283.69 = 700.95 : x
  2. Step 2: Convert to fraction form
    853.89/1,283.69 = 700.95/x
  3. Step 3: Cross multiply
    853.89x = 1,283.69 × 700.95
  4. Step 4: Simplify right side
    853.89x = 899,799.00
  5. Step 5: Solve for x
    x = 899,799.00/853.89
  6. Step 6: Final answer
    x = 1,053.76

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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.