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Finding the Fourth Proportional to 811.17, 1,214.93 and 485.85

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Solution

The fourth proportional to 811.17, 1,214.93 and 485.85 is: 727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.17 : 1,214.93 = 485.85 : x
  2. Step 2: Convert to fraction form
    811.17/1,214.93 = 485.85/x
  3. Step 3: Cross multiply
    811.17x = 1,214.93 × 485.85
  4. Step 4: Simplify right side
    811.17x = 590,271.31
  5. Step 5: Solve for x
    x = 590,271.31/811.17
  6. Step 6: Final answer
    x = 727.68

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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.