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Finding the Fourth Proportional to 1,318.77, 1,977.51 and 771.09

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Solution

The fourth proportional to 1,318.77, 1,977.51 and 771.09 is: 1,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.77 : 1,977.51 = 771.09 : x
  2. Step 2: Convert to fraction form
    1,318.77/1,977.51 = 771.09/x
  3. Step 3: Cross multiply
    1,318.77x = 1,977.51 × 771.09
  4. Step 4: Simplify right side
    1,318.77x = 1,524,838.19
  5. Step 5: Solve for x
    x = 1,524,838.19/1,318.77
  6. Step 6: Final answer
    x = 1,156.26

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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.