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Finding the Fourth Proportional to 841.88, 1,261.47 and 475.58

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Solution

The fourth proportional to 841.88, 1,261.47 and 475.58 is: 712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.88 : 1,261.47 = 475.58 : x
  2. Step 2: Convert to fraction form
    841.88/1,261.47 = 475.58/x
  3. Step 3: Cross multiply
    841.88x = 1,261.47 × 475.58
  4. Step 4: Simplify right side
    841.88x = 599,929.90
  5. Step 5: Solve for x
    x = 599,929.90/841.88
  6. Step 6: Final answer
    x = 712.61

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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.