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Finding the Fourth Proportional to 1,355.78, 2,034.05 and 381.89

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Solution

The fourth proportional to 1,355.78, 2,034.05 and 381.89 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.78 : 2,034.05 = 381.89 : x
  2. Step 2: Convert to fraction form
    1,355.78/2,034.05 = 381.89/x
  3. Step 3: Cross multiply
    1,355.78x = 2,034.05 × 381.89
  4. Step 4: Simplify right side
    1,355.78x = 776,783.35
  5. Step 5: Solve for x
    x = 776,783.35/1,355.78
  6. Step 6: Final answer
    x = 572.94

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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.