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Finding the Fourth Proportional to 770.90, 1,156.41 and 223.09

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Solution

The fourth proportional to 770.90, 1,156.41 and 223.09 is: 334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.90 : 1,156.41 = 223.09 : x
  2. Step 2: Convert to fraction form
    770.90/1,156.41 = 223.09/x
  3. Step 3: Cross multiply
    770.90x = 1,156.41 × 223.09
  4. Step 4: Simplify right side
    770.90x = 257,983.51
  5. Step 5: Solve for x
    x = 257,983.51/770.90
  6. Step 6: Final answer
    x = 334.65

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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.