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Finding the Fourth Proportional to 856.62, 1,284.48 and 548.40

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Solution

The fourth proportional to 856.62, 1,284.48 and 548.40 is: 822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.62 : 1,284.48 = 548.40 : x
  2. Step 2: Convert to fraction form
    856.62/1,284.48 = 548.40/x
  3. Step 3: Cross multiply
    856.62x = 1,284.48 × 548.40
  4. Step 4: Simplify right side
    856.62x = 704,408.83
  5. Step 5: Solve for x
    x = 704,408.83/856.62
  6. Step 6: Final answer
    x = 822.31

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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.