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Finding the Fourth Proportional to 771.64, 1,155.72 and 527.04

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Solution

The fourth proportional to 771.64, 1,155.72 and 527.04 is: 789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,155.72 = 527.04 : x
  2. Step 2: Convert to fraction form
    771.64/1,155.72 = 527.04/x
  3. Step 3: Cross multiply
    771.64x = 1,155.72 × 527.04
  4. Step 4: Simplify right side
    771.64x = 609,110.67
  5. Step 5: Solve for x
    x = 609,110.67/771.64
  6. Step 6: Final answer
    x = 789.37

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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.