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Finding the Fourth Proportional to 770.20, 1,155.08 and 283.14

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Solution

The fourth proportional to 770.20, 1,155.08 and 283.14 is: 424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.20 : 1,155.08 = 283.14 : x
  2. Step 2: Convert to fraction form
    770.20/1,155.08 = 283.14/x
  3. Step 3: Cross multiply
    770.20x = 1,155.08 × 283.14
  4. Step 4: Simplify right side
    770.20x = 327,049.35
  5. Step 5: Solve for x
    x = 327,049.35/770.20
  6. Step 6: Final answer
    x = 424.63

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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.