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Finding the Fourth Proportional to 1,317.86, 1,977.06 and 769.04

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Solution

The fourth proportional to 1,317.86, 1,977.06 and 769.04 is: 1,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.86 : 1,977.06 = 769.04 : x
  2. Step 2: Convert to fraction form
    1,317.86/1,977.06 = 769.04/x
  3. Step 3: Cross multiply
    1,317.86x = 1,977.06 × 769.04
  4. Step 4: Simplify right side
    1,317.86x = 1,520,438.22
  5. Step 5: Solve for x
    x = 1,520,438.22/1,317.86
  6. Step 6: Final answer
    x = 1,153.72

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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.