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Finding the Fourth Proportional to 856.73, 1,285.37 and 532.32

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Solution

The fourth proportional to 856.73, 1,285.37 and 532.32 is: 798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,285.37 = 532.32 : x
  2. Step 2: Convert to fraction form
    856.73/1,285.37 = 532.32/x
  3. Step 3: Cross multiply
    856.73x = 1,285.37 × 532.32
  4. Step 4: Simplify right side
    856.73x = 684,225.50
  5. Step 5: Solve for x
    x = 684,225.50/856.73
  6. Step 6: Final answer
    x = 798.65

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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.