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Finding the Fourth Proportional to 856.17, 1,284.66 and 816.48

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Solution

The fourth proportional to 856.17, 1,284.66 and 816.48 is: 1,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.17 : 1,284.66 = 816.48 : x
  2. Step 2: Convert to fraction form
    856.17/1,284.66 = 816.48/x
  3. Step 3: Cross multiply
    856.17x = 1,284.66 × 816.48
  4. Step 4: Simplify right side
    856.17x = 1,048,899.20
  5. Step 5: Solve for x
    x = 1,048,899.20/856.17
  6. Step 6: Final answer
    x = 1,225.11

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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.