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Finding the Fourth Proportional to 1,380.55, 1,904.28 and 883.01

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Solution

The fourth proportional to 1,380.55, 1,904.28 and 883.01 is: 1,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.55 : 1,904.28 = 883.01 : x
  2. Step 2: Convert to fraction form
    1,380.55/1,904.28 = 883.01/x
  3. Step 3: Cross multiply
    1,380.55x = 1,904.28 × 883.01
  4. Step 4: Simplify right side
    1,380.55x = 1,681,498.28
  5. Step 5: Solve for x
    x = 1,681,498.28/1,380.55
  6. Step 6: Final answer
    x = 1,217.99

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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.