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Finding the Fourth Proportional to 856.22, 1,284.78 and 466.50

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Solution

The fourth proportional to 856.22, 1,284.78 and 466.50 is: 700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.22 : 1,284.78 = 466.50 : x
  2. Step 2: Convert to fraction form
    856.22/1,284.78 = 466.50/x
  3. Step 3: Cross multiply
    856.22x = 1,284.78 × 466.50
  4. Step 4: Simplify right side
    856.22x = 599,349.87
  5. Step 5: Solve for x
    x = 599,349.87/856.22
  6. Step 6: Final answer
    x = 700.00

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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.