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Finding the Fourth Proportional to 841.69, 1,261.38 and 429.96

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Solution

The fourth proportional to 841.69, 1,261.38 and 429.96 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.69 : 1,261.38 = 429.96 : x
  2. Step 2: Convert to fraction form
    841.69/1,261.38 = 429.96/x
  3. Step 3: Cross multiply
    841.69x = 1,261.38 × 429.96
  4. Step 4: Simplify right side
    841.69x = 542,342.94
  5. Step 5: Solve for x
    x = 542,342.94/841.69
  6. Step 6: Final answer
    x = 644.35

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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.