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Finding the Fourth Proportional to 856.02, 1,283.14 and 416.63

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Solution

The fourth proportional to 856.02, 1,283.14 and 416.63 is: 624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.02 : 1,283.14 = 416.63 : x
  2. Step 2: Convert to fraction form
    856.02/1,283.14 = 416.63/x
  3. Step 3: Cross multiply
    856.02x = 1,283.14 × 416.63
  4. Step 4: Simplify right side
    856.02x = 534,594.62
  5. Step 5: Solve for x
    x = 534,594.62/856.02
  6. Step 6: Final answer
    x = 624.51

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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.