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Finding the Fourth Proportional to 771.35, 1,156.56 and 302.26

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Solution

The fourth proportional to 771.35, 1,156.56 and 302.26 is: 453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.35 : 1,156.56 = 302.26 : x
  2. Step 2: Convert to fraction form
    771.35/1,156.56 = 302.26/x
  3. Step 3: Cross multiply
    771.35x = 1,156.56 × 302.26
  4. Step 4: Simplify right side
    771.35x = 349,581.83
  5. Step 5: Solve for x
    x = 349,581.83/771.35
  6. Step 6: Final answer
    x = 453.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.