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Finding the Fourth Proportional to 856.87, 1,283.88 and 824.89

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Solution

The fourth proportional to 856.87, 1,283.88 and 824.89 is: 1,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.87 : 1,283.88 = 824.89 : x
  2. Step 2: Convert to fraction form
    856.87/1,283.88 = 824.89/x
  3. Step 3: Cross multiply
    856.87x = 1,283.88 × 824.89
  4. Step 4: Simplify right side
    856.87x = 1,059,059.77
  5. Step 5: Solve for x
    x = 1,059,059.77/856.87
  6. Step 6: Final answer
    x = 1,235.96

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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.