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Finding the Fourth Proportional to 1,318.07, 1,977.51 and 771.32

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Solution

The fourth proportional to 1,318.07, 1,977.51 and 771.32 is: 1,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.07 : 1,977.51 = 771.32 : x
  2. Step 2: Convert to fraction form
    1,318.07/1,977.51 = 771.32/x
  3. Step 3: Cross multiply
    1,318.07x = 1,977.51 × 771.32
  4. Step 4: Simplify right side
    1,318.07x = 1,525,300.85
  5. Step 5: Solve for x
    x = 1,525,300.85/1,318.07
  6. Step 6: Final answer
    x = 1,157.22

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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.