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Finding the Fourth Proportional to 1,384.52, 1,910.62 and 763.48

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Solution

The fourth proportional to 1,384.52, 1,910.62 and 763.48 is: 1,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.52 : 1,910.62 = 763.48 : x
  2. Step 2: Convert to fraction form
    1,384.52/1,910.62 = 763.48/x
  3. Step 3: Cross multiply
    1,384.52x = 1,910.62 × 763.48
  4. Step 4: Simplify right side
    1,384.52x = 1,458,720.16
  5. Step 5: Solve for x
    x = 1,458,720.16/1,384.52
  6. Step 6: Final answer
    x = 1,053.59

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