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Finding the Fourth Proportional to 1,207.35, 1,809.77 and 549.68

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Solution

The fourth proportional to 1,207.35, 1,809.77 and 549.68 is: 823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.35 : 1,809.77 = 549.68 : x
  2. Step 2: Convert to fraction form
    1,207.35/1,809.77 = 549.68/x
  3. Step 3: Cross multiply
    1,207.35x = 1,809.77 × 549.68
  4. Step 4: Simplify right side
    1,207.35x = 994,794.37
  5. Step 5: Solve for x
    x = 994,794.37/1,207.35
  6. Step 6: Final answer
    x = 823.95

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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.