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Finding the Fourth Proportional to 856.08, 1,283.31 and 466.02

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Solution

The fourth proportional to 856.08, 1,283.31 and 466.02 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.08 : 1,283.31 = 466.02 : x
  2. Step 2: Convert to fraction form
    856.08/1,283.31 = 466.02/x
  3. Step 3: Cross multiply
    856.08x = 1,283.31 × 466.02
  4. Step 4: Simplify right side
    856.08x = 598,048.13
  5. Step 5: Solve for x
    x = 598,048.13/856.08
  6. Step 6: Final answer
    x = 698.59

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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.