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Finding the Fourth Proportional to 846.78, 1,270.19 and 384.58

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Solution

The fourth proportional to 846.78, 1,270.19 and 384.58 is: 576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.78 : 1,270.19 = 384.58 : x
  2. Step 2: Convert to fraction form
    846.78/1,270.19 = 384.58/x
  3. Step 3: Cross multiply
    846.78x = 1,270.19 × 384.58
  4. Step 4: Simplify right side
    846.78x = 488,489.67
  5. Step 5: Solve for x
    x = 488,489.67/846.78
  6. Step 6: Final answer
    x = 576.88

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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.