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Finding the Fourth Proportional to 1,294.25, 1,784.40 and 1,057.95

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Solution

The fourth proportional to 1,294.25, 1,784.40 and 1,057.95 is: 1,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.25 : 1,784.40 = 1,057.95 : x
  2. Step 2: Convert to fraction form
    1,294.25/1,784.40 = 1,057.95/x
  3. Step 3: Cross multiply
    1,294.25x = 1,784.40 × 1,057.95
  4. Step 4: Simplify right side
    1,294.25x = 1,887,805.98
  5. Step 5: Solve for x
    x = 1,887,805.98/1,294.25
  6. Step 6: Final answer
    x = 1,458.61

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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.