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Finding the Fourth Proportional to 856.89, 1,285.06 and 279.63

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Solution

The fourth proportional to 856.89, 1,285.06 and 279.63 is: 419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.89 : 1,285.06 = 279.63 : x
  2. Step 2: Convert to fraction form
    856.89/1,285.06 = 279.63/x
  3. Step 3: Cross multiply
    856.89x = 1,285.06 × 279.63
  4. Step 4: Simplify right side
    856.89x = 359,341.33
  5. Step 5: Solve for x
    x = 359,341.33/856.89
  6. Step 6: Final answer
    x = 419.36

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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.