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Finding the Fourth Proportional to 768.43, 1,152.61 and 248.45

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Solution

The fourth proportional to 768.43, 1,152.61 and 248.45 is: 372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.43 : 1,152.61 = 248.45 : x
  2. Step 2: Convert to fraction form
    768.43/1,152.61 = 248.45/x
  3. Step 3: Cross multiply
    768.43x = 1,152.61 × 248.45
  4. Step 4: Simplify right side
    768.43x = 286,368.21
  5. Step 5: Solve for x
    x = 286,368.21/768.43
  6. Step 6: Final answer
    x = 372.67

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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.