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Finding the Fourth Proportional to 1,318.77, 1,977.53 and 771.08

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Solution

The fourth proportional to 1,318.77, 1,977.53 and 771.08 is: 1,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.77 : 1,977.53 = 771.08 : x
  2. Step 2: Convert to fraction form
    1,318.77/1,977.53 = 771.08/x
  3. Step 3: Cross multiply
    1,318.77x = 1,977.53 × 771.08
  4. Step 4: Simplify right side
    1,318.77x = 1,524,820.09
  5. Step 5: Solve for x
    x = 1,524,820.09/1,318.77
  6. Step 6: Final answer
    x = 1,156.24

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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.