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Finding the Fourth Proportional to 1,384.25, 2,076.38 and 472.25

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Solution

The fourth proportional to 1,384.25, 2,076.38 and 472.25 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.25 : 2,076.38 = 472.25 : x
  2. Step 2: Convert to fraction form
    1,384.25/2,076.38 = 472.25/x
  3. Step 3: Cross multiply
    1,384.25x = 2,076.38 × 472.25
  4. Step 4: Simplify right side
    1,384.25x = 980,570.46
  5. Step 5: Solve for x
    x = 980,570.46/1,384.25
  6. Step 6: Final answer
    x = 708.38

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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.