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Finding the Fourth Proportional to 1,384.78, 1,911.77 and 960.02

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Solution

The fourth proportional to 1,384.78, 1,911.77 and 960.02 is: 1,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.78 : 1,911.77 = 960.02 : x
  2. Step 2: Convert to fraction form
    1,384.78/1,911.77 = 960.02/x
  3. Step 3: Cross multiply
    1,384.78x = 1,911.77 × 960.02
  4. Step 4: Simplify right side
    1,384.78x = 1,835,337.44
  5. Step 5: Solve for x
    x = 1,835,337.44/1,384.78
  6. Step 6: Final answer
    x = 1,325.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.