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Finding the Fourth Proportional to 810.04, 1,214.22 and 419.56

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Solution

The fourth proportional to 810.04, 1,214.22 and 419.56 is: 628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.04 : 1,214.22 = 419.56 : x
  2. Step 2: Convert to fraction form
    810.04/1,214.22 = 419.56/x
  3. Step 3: Cross multiply
    810.04x = 1,214.22 × 419.56
  4. Step 4: Simplify right side
    810.04x = 509,438.14
  5. Step 5: Solve for x
    x = 509,438.14/810.04
  6. Step 6: Final answer
    x = 628.90

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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.