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Finding the Fourth Proportional to 856.77, 1,181.13 and 647.19

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Solution

The fourth proportional to 856.77, 1,181.13 and 647.19 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.77 : 1,181.13 = 647.19 : x
  2. Step 2: Convert to fraction form
    856.77/1,181.13 = 647.19/x
  3. Step 3: Cross multiply
    856.77x = 1,181.13 × 647.19
  4. Step 4: Simplify right side
    856.77x = 764,415.52
  5. Step 5: Solve for x
    x = 764,415.52/856.77
  6. Step 6: Final answer
    x = 892.21

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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.