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Finding the Fourth Proportional to 770.43, 1,156.43 and 564.39

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Solution

The fourth proportional to 770.43, 1,156.43 and 564.39 is: 847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.43 : 1,156.43 = 564.39 : x
  2. Step 2: Convert to fraction form
    770.43/1,156.43 = 564.39/x
  3. Step 3: Cross multiply
    770.43x = 1,156.43 × 564.39
  4. Step 4: Simplify right side
    770.43x = 652,671.75
  5. Step 5: Solve for x
    x = 652,671.75/770.43
  6. Step 6: Final answer
    x = 847.15

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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.