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Finding the Fourth Proportional to 770.50, 1,155.85 and 283.56

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Solution

The fourth proportional to 770.50, 1,155.85 and 283.56 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.50 : 1,155.85 = 283.56 : x
  2. Step 2: Convert to fraction form
    770.50/1,155.85 = 283.56/x
  3. Step 3: Cross multiply
    770.50x = 1,155.85 × 283.56
  4. Step 4: Simplify right side
    770.50x = 327,752.83
  5. Step 5: Solve for x
    x = 327,752.83/770.50
  6. Step 6: Final answer
    x = 425.38

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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.