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Finding the Fourth Proportional to 1,135.49, 1,564.62 and 869.91

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Solution

The fourth proportional to 1,135.49, 1,564.62 and 869.91 is: 1,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.49 : 1,564.62 = 869.91 : x
  2. Step 2: Convert to fraction form
    1,135.49/1,564.62 = 869.91/x
  3. Step 3: Cross multiply
    1,135.49x = 1,564.62 × 869.91
  4. Step 4: Simplify right side
    1,135.49x = 1,361,078.58
  5. Step 5: Solve for x
    x = 1,361,078.58/1,135.49
  6. Step 6: Final answer
    x = 1,198.67

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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.