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Finding the Fourth Proportional to 771.04, 1,156.20 and 223.09

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Solution

The fourth proportional to 771.04, 1,156.20 and 223.09 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.04 : 1,156.20 = 223.09 : x
  2. Step 2: Convert to fraction form
    771.04/1,156.20 = 223.09/x
  3. Step 3: Cross multiply
    771.04x = 1,156.20 × 223.09
  4. Step 4: Simplify right side
    771.04x = 257,936.35
  5. Step 5: Solve for x
    x = 257,936.35/771.04
  6. Step 6: Final answer
    x = 334.53

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Double scale
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1.5x scale

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.