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Finding the Fourth Proportional to 1,364.90, 2,046.15 and 817.30

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Solution

The fourth proportional to 1,364.90, 2,046.15 and 817.30 is: 1,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.90 : 2,046.15 = 817.30 : x
  2. Step 2: Convert to fraction form
    1,364.90/2,046.15 = 817.30/x
  3. Step 3: Cross multiply
    1,364.90x = 2,046.15 × 817.30
  4. Step 4: Simplify right side
    1,364.90x = 1,672,318.40
  5. Step 5: Solve for x
    x = 1,672,318.40/1,364.90
  6. Step 6: Final answer
    x = 1,225.23

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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.