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Finding the Fourth Proportional to 1,217.78, 1,826.85 and 384.56

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Solution

The fourth proportional to 1,217.78, 1,826.85 and 384.56 is: 576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.78 : 1,826.85 = 384.56 : x
  2. Step 2: Convert to fraction form
    1,217.78/1,826.85 = 384.56/x
  3. Step 3: Cross multiply
    1,217.78x = 1,826.85 × 384.56
  4. Step 4: Simplify right side
    1,217.78x = 702,541.25
  5. Step 5: Solve for x
    x = 702,541.25/1,217.78
  6. Step 6: Final answer
    x = 576.90

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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.