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Finding the Fourth Proportional to 856.36, 1,282.12 and 651.76

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Solution

The fourth proportional to 856.36, 1,282.12 and 651.76 is: 975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.36 : 1,282.12 = 651.76 : x
  2. Step 2: Convert to fraction form
    856.36/1,282.12 = 651.76/x
  3. Step 3: Cross multiply
    856.36x = 1,282.12 × 651.76
  4. Step 4: Simplify right side
    856.36x = 835,634.53
  5. Step 5: Solve for x
    x = 835,634.53/856.36
  6. Step 6: Final answer
    x = 975.80

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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.