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Finding the Fourth Proportional to 841.82, 1,261.91 and 431.15

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Solution

The fourth proportional to 841.82, 1,261.91 and 431.15 is: 646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.82 : 1,261.91 = 431.15 : x
  2. Step 2: Convert to fraction form
    841.82/1,261.91 = 431.15/x
  3. Step 3: Cross multiply
    841.82x = 1,261.91 × 431.15
  4. Step 4: Simplify right side
    841.82x = 544,066.19
  5. Step 5: Solve for x
    x = 544,066.19/841.82
  6. Step 6: Final answer
    x = 646.30

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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.