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Finding the Fourth Proportional to 1,380.37, 1,905.11 and 856.57

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Solution

The fourth proportional to 1,380.37, 1,905.11 and 856.57 is: 1,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.37 : 1,905.11 = 856.57 : x
  2. Step 2: Convert to fraction form
    1,380.37/1,905.11 = 856.57/x
  3. Step 3: Cross multiply
    1,380.37x = 1,905.11 × 856.57
  4. Step 4: Simplify right side
    1,380.37x = 1,631,860.07
  5. Step 5: Solve for x
    x = 1,631,860.07/1,380.37
  6. Step 6: Final answer
    x = 1,182.19

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1.5x scale

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.