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Finding the Fourth Proportional to 1,380.25, 1,904.88 and 856.45

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Solution

The fourth proportional to 1,380.25, 1,904.88 and 856.45 is: 1,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.25 : 1,904.88 = 856.45 : x
  2. Step 2: Convert to fraction form
    1,380.25/1,904.88 = 856.45/x
  3. Step 3: Cross multiply
    1,380.25x = 1,904.88 × 856.45
  4. Step 4: Simplify right side
    1,380.25x = 1,631,434.48
  5. Step 5: Solve for x
    x = 1,631,434.48/1,380.25
  6. Step 6: Final answer
    x = 1,181.98

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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.