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Finding the Fourth Proportional to 1,374.21, 1,896.78 and 784.95

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Solution

The fourth proportional to 1,374.21, 1,896.78 and 784.95 is: 1,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.21 : 1,896.78 = 784.95 : x
  2. Step 2: Convert to fraction form
    1,374.21/1,896.78 = 784.95/x
  3. Step 3: Cross multiply
    1,374.21x = 1,896.78 × 784.95
  4. Step 4: Simplify right side
    1,374.21x = 1,488,877.46
  5. Step 5: Solve for x
    x = 1,488,877.46/1,374.21
  6. Step 6: Final answer
    x = 1,083.44

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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.