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Finding the Fourth Proportional to 1,371.74, 1,892.97 and 782.16

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Solution

The fourth proportional to 1,371.74, 1,892.97 and 782.16 is: 1,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.74 : 1,892.97 = 782.16 : x
  2. Step 2: Convert to fraction form
    1,371.74/1,892.97 = 782.16/x
  3. Step 3: Cross multiply
    1,371.74x = 1,892.97 × 782.16
  4. Step 4: Simplify right side
    1,371.74x = 1,480,598.32
  5. Step 5: Solve for x
    x = 1,480,598.32/1,371.74
  6. Step 6: Final answer
    x = 1,079.36

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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.