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Finding the Fourth Proportional to 841.43, 1,261.44 and 424.69

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Solution

The fourth proportional to 841.43, 1,261.44 and 424.69 is: 636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.43 : 1,261.44 = 424.69 : x
  2. Step 2: Convert to fraction form
    841.43/1,261.44 = 424.69/x
  3. Step 3: Cross multiply
    841.43x = 1,261.44 × 424.69
  4. Step 4: Simplify right side
    841.43x = 535,717.80
  5. Step 5: Solve for x
    x = 535,717.80/841.43
  6. Step 6: Final answer
    x = 636.67

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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.