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Finding the Fourth Proportional to 856.75, 1,285.16 and 491.37

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Solution

The fourth proportional to 856.75, 1,285.16 and 491.37 is: 737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 1,285.16 = 491.37 : x
  2. Step 2: Convert to fraction form
    856.75/1,285.16 = 491.37/x
  3. Step 3: Cross multiply
    856.75x = 1,285.16 × 491.37
  4. Step 4: Simplify right side
    856.75x = 631,489.07
  5. Step 5: Solve for x
    x = 631,489.07/856.75
  6. Step 6: Final answer
    x = 737.08

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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.