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Finding the Fourth Proportional to 856.47, 1,278.51 and 732.54

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Solution

The fourth proportional to 856.47, 1,278.51 and 732.54 is: 1,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.47 : 1,278.51 = 732.54 : x
  2. Step 2: Convert to fraction form
    856.47/1,278.51 = 732.54/x
  3. Step 3: Cross multiply
    856.47x = 1,278.51 × 732.54
  4. Step 4: Simplify right side
    856.47x = 936,559.72
  5. Step 5: Solve for x
    x = 936,559.72/856.47
  6. Step 6: Final answer
    x = 1,093.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.