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Finding the Fourth Proportional to 856.28, 1,182.12 and 659.36

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Solution

The fourth proportional to 856.28, 1,182.12 and 659.36 is: 910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.28 : 1,182.12 = 659.36 : x
  2. Step 2: Convert to fraction form
    856.28/1,182.12 = 659.36/x
  3. Step 3: Cross multiply
    856.28x = 1,182.12 × 659.36
  4. Step 4: Simplify right side
    856.28x = 779,442.64
  5. Step 5: Solve for x
    x = 779,442.64/856.28
  6. Step 6: Final answer
    x = 910.27

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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.