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Finding the Fourth Proportional to 770.87, 1,155.30 and 283.46

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Solution

The fourth proportional to 770.87, 1,155.30 and 283.46 is: 424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.87 : 1,155.30 = 283.46 : x
  2. Step 2: Convert to fraction form
    770.87/1,155.30 = 283.46/x
  3. Step 3: Cross multiply
    770.87x = 1,155.30 × 283.46
  4. Step 4: Simplify right side
    770.87x = 327,481.34
  5. Step 5: Solve for x
    x = 327,481.34/770.87
  6. Step 6: Final answer
    x = 424.82

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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.