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Finding the Fourth Proportional to 841.38, 1,261.97 and 452.16

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Solution

The fourth proportional to 841.38, 1,261.97 and 452.16 is: 678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.38 : 1,261.97 = 452.16 : x
  2. Step 2: Convert to fraction form
    841.38/1,261.97 = 452.16/x
  3. Step 3: Cross multiply
    841.38x = 1,261.97 × 452.16
  4. Step 4: Simplify right side
    841.38x = 570,610.09
  5. Step 5: Solve for x
    x = 570,610.09/841.38
  6. Step 6: Final answer
    x = 678.18

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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.