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Finding the Fourth Proportional to 856.62, 1,285.22 and 510.24

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Solution

The fourth proportional to 856.62, 1,285.22 and 510.24 is: 765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.62 : 1,285.22 = 510.24 : x
  2. Step 2: Convert to fraction form
    856.62/1,285.22 = 510.24/x
  3. Step 3: Cross multiply
    856.62x = 1,285.22 × 510.24
  4. Step 4: Simplify right side
    856.62x = 655,770.65
  5. Step 5: Solve for x
    x = 655,770.65/856.62
  6. Step 6: Final answer
    x = 765.53

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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.