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Finding the Fourth Proportional to 777.50, 1,165.85 and 283.88

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Solution

The fourth proportional to 777.50, 1,165.85 and 283.88 is: 425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,165.85 = 283.88 : x
  2. Step 2: Convert to fraction form
    777.50/1,165.85 = 283.88/x
  3. Step 3: Cross multiply
    777.50x = 1,165.85 × 283.88
  4. Step 4: Simplify right side
    777.50x = 330,961.50
  5. Step 5: Solve for x
    x = 330,961.50/777.50
  6. Step 6: Final answer
    x = 425.67

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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.