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Finding the Fourth Proportional to 809.86, 1,214.18 and 549.12

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Solution

The fourth proportional to 809.86, 1,214.18 and 549.12 is: 823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.86 : 1,214.18 = 549.12 : x
  2. Step 2: Convert to fraction form
    809.86/1,214.18 = 549.12/x
  3. Step 3: Cross multiply
    809.86x = 1,214.18 × 549.12
  4. Step 4: Simplify right side
    809.86x = 666,730.52
  5. Step 5: Solve for x
    x = 666,730.52/809.86
  6. Step 6: Final answer
    x = 823.27

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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.