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Finding the Fourth Proportional to 1,447.19, 1,997.14 and 784.06

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Solution

The fourth proportional to 1,447.19, 1,997.14 and 784.06 is: 1,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.19 : 1,997.14 = 784.06 : x
  2. Step 2: Convert to fraction form
    1,447.19/1,997.14 = 784.06/x
  3. Step 3: Cross multiply
    1,447.19x = 1,997.14 × 784.06
  4. Step 4: Simplify right side
    1,447.19x = 1,565,877.59
  5. Step 5: Solve for x
    x = 1,565,877.59/1,447.19
  6. Step 6: Final answer
    x = 1,082.02

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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.