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Finding the Fourth Proportional to 856.34, 1,280.78 and 794.08

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Solution

The fourth proportional to 856.34, 1,280.78 and 794.08 is: 1,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.34 : 1,280.78 = 794.08 : x
  2. Step 2: Convert to fraction form
    856.34/1,280.78 = 794.08/x
  3. Step 3: Cross multiply
    856.34x = 1,280.78 × 794.08
  4. Step 4: Simplify right side
    856.34x = 1,017,035.38
  5. Step 5: Solve for x
    x = 1,017,035.38/856.34
  6. Step 6: Final answer
    x = 1,187.65

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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.