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Finding the Fourth Proportional to 856.47, 1,284.70 and 548.47

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Solution

The fourth proportional to 856.47, 1,284.70 and 548.47 is: 822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.47 : 1,284.70 = 548.47 : x
  2. Step 2: Convert to fraction form
    856.47/1,284.70 = 548.47/x
  3. Step 3: Cross multiply
    856.47x = 1,284.70 × 548.47
  4. Step 4: Simplify right side
    856.47x = 704,614.36
  5. Step 5: Solve for x
    x = 704,614.36/856.47
  6. Step 6: Final answer
    x = 822.70

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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.