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Finding the Fourth Proportional to 856.32, 1,283.76 and 423.12

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Solution

The fourth proportional to 856.32, 1,283.76 and 423.12 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.32 : 1,283.76 = 423.12 : x
  2. Step 2: Convert to fraction form
    856.32/1,283.76 = 423.12/x
  3. Step 3: Cross multiply
    856.32x = 1,283.76 × 423.12
  4. Step 4: Simplify right side
    856.32x = 543,184.53
  5. Step 5: Solve for x
    x = 543,184.53/856.32
  6. Step 6: Final answer
    x = 634.32

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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.