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Finding the Fourth Proportional to 856.11, 1,284.18 and 565.47

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Solution

The fourth proportional to 856.11, 1,284.18 and 565.47 is: 848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.11 : 1,284.18 = 565.47 : x
  2. Step 2: Convert to fraction form
    856.11/1,284.18 = 565.47/x
  3. Step 3: Cross multiply
    856.11x = 1,284.18 × 565.47
  4. Step 4: Simplify right side
    856.11x = 726,165.26
  5. Step 5: Solve for x
    x = 726,165.26/856.11
  6. Step 6: Final answer
    x = 848.21

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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.