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Finding the Fourth Proportional to 770.73, 1,156.87 and 564.68

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Solution

The fourth proportional to 770.73, 1,156.87 and 564.68 is: 847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.73 : 1,156.87 = 564.68 : x
  2. Step 2: Convert to fraction form
    770.73/1,156.87 = 564.68/x
  3. Step 3: Cross multiply
    770.73x = 1,156.87 × 564.68
  4. Step 4: Simplify right side
    770.73x = 653,261.35
  5. Step 5: Solve for x
    x = 653,261.35/770.73
  6. Step 6: Final answer
    x = 847.59

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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.