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Finding the Fourth Proportional to 1,780.29, 2,672.16 and 856.49

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Solution

The fourth proportional to 1,780.29, 2,672.16 and 856.49 is: 1,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.29 : 2,672.16 = 856.49 : x
  2. Step 2: Convert to fraction form
    1,780.29/2,672.16 = 856.49/x
  3. Step 3: Cross multiply
    1,780.29x = 2,672.16 × 856.49
  4. Step 4: Simplify right side
    1,780.29x = 2,288,661.75
  5. Step 5: Solve for x
    x = 2,288,661.75/1,780.29
  6. Step 6: Final answer
    x = 1,285.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.