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Finding the Fourth Proportional to 856.58, 1,284.83 and 466.47

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Solution

The fourth proportional to 856.58, 1,284.83 and 466.47 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.58 : 1,284.83 = 466.47 : x
  2. Step 2: Convert to fraction form
    856.58/1,284.83 = 466.47/x
  3. Step 3: Cross multiply
    856.58x = 1,284.83 × 466.47
  4. Step 4: Simplify right side
    856.58x = 599,342.40
  5. Step 5: Solve for x
    x = 599,342.40/856.58
  6. Step 6: Final answer
    x = 699.70

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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.