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Finding the Fourth Proportional to 770.34, 1,155.24 and 564.42

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Solution

The fourth proportional to 770.34, 1,155.24 and 564.42 is: 846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,155.24 = 564.42 : x
  2. Step 2: Convert to fraction form
    770.34/1,155.24 = 564.42/x
  3. Step 3: Cross multiply
    770.34x = 1,155.24 × 564.42
  4. Step 4: Simplify right side
    770.34x = 652,040.56
  5. Step 5: Solve for x
    x = 652,040.56/770.34
  6. Step 6: Final answer
    x = 846.43

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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.