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Finding the Fourth Proportional to 856.80, 1,284.66 and 446.07

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Solution

The fourth proportional to 856.80, 1,284.66 and 446.07 is: 668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.80 : 1,284.66 = 446.07 : x
  2. Step 2: Convert to fraction form
    856.80/1,284.66 = 446.07/x
  3. Step 3: Cross multiply
    856.80x = 1,284.66 × 446.07
  4. Step 4: Simplify right side
    856.80x = 573,048.29
  5. Step 5: Solve for x
    x = 573,048.29/856.80
  6. Step 6: Final answer
    x = 668.82

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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.