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Finding the Fourth Proportional to 856.44, 1,277.14 and 848.65

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Solution

The fourth proportional to 856.44, 1,277.14 and 848.65 is: 1,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,277.14 = 848.65 : x
  2. Step 2: Convert to fraction form
    856.44/1,277.14 = 848.65/x
  3. Step 3: Cross multiply
    856.44x = 1,277.14 × 848.65
  4. Step 4: Simplify right side
    856.44x = 1,083,843.79
  5. Step 5: Solve for x
    x = 1,083,843.79/856.44
  6. Step 6: Final answer
    x = 1,265.52

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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.