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Finding the Fourth Proportional to 771.36, 1,155.60 and 684.96

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Solution

The fourth proportional to 771.36, 1,155.60 and 684.96 is: 1,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.36 : 1,155.60 = 684.96 : x
  2. Step 2: Convert to fraction form
    771.36/1,155.60 = 684.96/x
  3. Step 3: Cross multiply
    771.36x = 1,155.60 × 684.96
  4. Step 4: Simplify right side
    771.36x = 791,539.78
  5. Step 5: Solve for x
    x = 791,539.78/771.36
  6. Step 6: Final answer
    x = 1,026.16

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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.