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Finding the Fourth Proportional to 810.43, 1,214.73 and 398.69

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Solution

The fourth proportional to 810.43, 1,214.73 and 398.69 is: 597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.43 : 1,214.73 = 398.69 : x
  2. Step 2: Convert to fraction form
    810.43/1,214.73 = 398.69/x
  3. Step 3: Cross multiply
    810.43x = 1,214.73 × 398.69
  4. Step 4: Simplify right side
    810.43x = 484,300.70
  5. Step 5: Solve for x
    x = 484,300.70/810.43
  6. Step 6: Final answer
    x = 597.58

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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.