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Finding the Fourth Proportional to 1,289.66, 1,778.96 and 823.91

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Solution

The fourth proportional to 1,289.66, 1,778.96 and 823.91 is: 1,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.66 : 1,778.96 = 823.91 : x
  2. Step 2: Convert to fraction form
    1,289.66/1,778.96 = 823.91/x
  3. Step 3: Cross multiply
    1,289.66x = 1,778.96 × 823.91
  4. Step 4: Simplify right side
    1,289.66x = 1,465,696.10
  5. Step 5: Solve for x
    x = 1,465,696.10/1,289.66
  6. Step 6: Final answer
    x = 1,136.50

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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.