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Finding the Fourth Proportional to 1,403, 1,936.14 and 782

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Solution

The fourth proportional to 1,403, 1,936.14 and 782 is: 1,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403 : 1,936.14 = 782 : x
  2. Step 2: Convert to fraction form
    1,403/1,936.14 = 782/x
  3. Step 3: Cross multiply
    1,403x = 1,936.14 × 782
  4. Step 4: Simplify right side
    1,403x = 1,514,061.48
  5. Step 5: Solve for x
    x = 1,514,061.48/1,403
  6. Step 6: Final answer
    x = 1,079.16

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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.