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Finding the Fourth Proportional to 841.14, 1,261.31 and 430.42

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Solution

The fourth proportional to 841.14, 1,261.31 and 430.42 is: 645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.14 : 1,261.31 = 430.42 : x
  2. Step 2: Convert to fraction form
    841.14/1,261.31 = 430.42/x
  3. Step 3: Cross multiply
    841.14x = 1,261.31 × 430.42
  4. Step 4: Simplify right side
    841.14x = 542,893.05
  5. Step 5: Solve for x
    x = 542,893.05/841.14
  6. Step 6: Final answer
    x = 645.43

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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.