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Finding the Fourth Proportional to 1,217.08, 1,817.34 and 967.47

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Solution

The fourth proportional to 1,217.08, 1,817.34 and 967.47 is: 1,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.08 : 1,817.34 = 967.47 : x
  2. Step 2: Convert to fraction form
    1,217.08/1,817.34 = 967.47/x
  3. Step 3: Cross multiply
    1,217.08x = 1,817.34 × 967.47
  4. Step 4: Simplify right side
    1,217.08x = 1,758,216.60
  5. Step 5: Solve for x
    x = 1,758,216.60/1,217.08
  6. Step 6: Final answer
    x = 1,444.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.