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Finding the Fourth Proportional to 771.18, 1,155.86 and 359.44

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Solution

The fourth proportional to 771.18, 1,155.86 and 359.44 is: 538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.18 : 1,155.86 = 359.44 : x
  2. Step 2: Convert to fraction form
    771.18/1,155.86 = 359.44/x
  3. Step 3: Cross multiply
    771.18x = 1,155.86 × 359.44
  4. Step 4: Simplify right side
    771.18x = 415,462.32
  5. Step 5: Solve for x
    x = 415,462.32/771.18
  6. Step 6: Final answer
    x = 538.74

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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.