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Finding the Fourth Proportional to 841.56, 1,261.29 and 476.61

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Solution

The fourth proportional to 841.56, 1,261.29 and 476.61 is: 714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.56 : 1,261.29 = 476.61 : x
  2. Step 2: Convert to fraction form
    841.56/1,261.29 = 476.61/x
  3. Step 3: Cross multiply
    841.56x = 1,261.29 × 476.61
  4. Step 4: Simplify right side
    841.56x = 601,143.43
  5. Step 5: Solve for x
    x = 601,143.43/841.56
  6. Step 6: Final answer
    x = 714.32

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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.