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Finding the Fourth Proportional to 1,171.90, 1,758.71 and 864.58

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Solution

The fourth proportional to 1,171.90, 1,758.71 and 864.58 is: 1,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.90 : 1,758.71 = 864.58 : x
  2. Step 2: Convert to fraction form
    1,171.90/1,758.71 = 864.58/x
  3. Step 3: Cross multiply
    1,171.90x = 1,758.71 × 864.58
  4. Step 4: Simplify right side
    1,171.90x = 1,520,544.99
  5. Step 5: Solve for x
    x = 1,520,544.99/1,171.90
  6. Step 6: Final answer
    x = 1,297.50

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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.