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Finding the Fourth Proportional to 883.74, 1,323.27 and 779.94

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Solution

The fourth proportional to 883.74, 1,323.27 and 779.94 is: 1,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,323.27 = 779.94 : x
  2. Step 2: Convert to fraction form
    883.74/1,323.27 = 779.94/x
  3. Step 3: Cross multiply
    883.74x = 1,323.27 × 779.94
  4. Step 4: Simplify right side
    883.74x = 1,032,071.20
  5. Step 5: Solve for x
    x = 1,032,071.20/883.74
  6. Step 6: Final answer
    x = 1,167.84

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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.