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Finding the Fourth Proportional to 856.70, 1,285.04 and 207.44

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Solution

The fourth proportional to 856.70, 1,285.04 and 207.44 is: 311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.70 : 1,285.04 = 207.44 : x
  2. Step 2: Convert to fraction form
    856.70/1,285.04 = 207.44/x
  3. Step 3: Cross multiply
    856.70x = 1,285.04 × 207.44
  4. Step 4: Simplify right side
    856.70x = 266,567.61
  5. Step 5: Solve for x
    x = 266,567.61/856.70
  6. Step 6: Final answer
    x = 311.16

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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.