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Finding the Fourth Proportional to 811.63, 1,217.46 and 292.00

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Solution

The fourth proportional to 811.63, 1,217.46 and 292.00 is: 438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.63 : 1,217.46 = 292.00 : x
  2. Step 2: Convert to fraction form
    811.63/1,217.46 = 292.00/x
  3. Step 3: Cross multiply
    811.63x = 1,217.46 × 292.00
  4. Step 4: Simplify right side
    811.63x = 355,500.47
  5. Step 5: Solve for x
    x = 355,500.47/811.63
  6. Step 6: Final answer
    x = 438.01

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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.