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Finding the Fourth Proportional to 856.73, 1,285.08 and 271.70

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Solution

The fourth proportional to 856.73, 1,285.08 and 271.70 is: 407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,285.08 = 271.70 : x
  2. Step 2: Convert to fraction form
    856.73/1,285.08 = 271.70/x
  3. Step 3: Cross multiply
    856.73x = 1,285.08 × 271.70
  4. Step 4: Simplify right side
    856.73x = 349,156.24
  5. Step 5: Solve for x
    x = 349,156.24/856.73
  6. Step 6: Final answer
    x = 407.55

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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.