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Finding the Fourth Proportional to 1,172.12, 1,759.01 and 864.77

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Solution

The fourth proportional to 1,172.12, 1,759.01 and 864.77 is: 1,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.12 : 1,759.01 = 864.77 : x
  2. Step 2: Convert to fraction form
    1,172.12/1,759.01 = 864.77/x
  3. Step 3: Cross multiply
    1,172.12x = 1,759.01 × 864.77
  4. Step 4: Simplify right side
    1,172.12x = 1,521,125.96
  5. Step 5: Solve for x
    x = 1,521,125.96/1,172.12
  6. Step 6: Final answer
    x = 1,297.76

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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.