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Finding the Fourth Proportional to 1,453.71, 2,006.17 and 856.26

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Solution

The fourth proportional to 1,453.71, 2,006.17 and 856.26 is: 1,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.71 : 2,006.17 = 856.26 : x
  2. Step 2: Convert to fraction form
    1,453.71/2,006.17 = 856.26/x
  3. Step 3: Cross multiply
    1,453.71x = 2,006.17 × 856.26
  4. Step 4: Simplify right side
    1,453.71x = 1,717,800.98
  5. Step 5: Solve for x
    x = 1,717,800.98/1,453.71
  6. Step 6: Final answer
    x = 1,181.67

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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.