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Finding the Fourth Proportional to 770.34, 1,154.46 and 423.26

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Solution

The fourth proportional to 770.34, 1,154.46 and 423.26 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,154.46 = 423.26 : x
  2. Step 2: Convert to fraction form
    770.34/1,154.46 = 423.26/x
  3. Step 3: Cross multiply
    770.34x = 1,154.46 × 423.26
  4. Step 4: Simplify right side
    770.34x = 488,636.74
  5. Step 5: Solve for x
    x = 488,636.74/770.34
  6. Step 6: Final answer
    x = 634.31

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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.