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Finding the Fourth Proportional to 841.24, 1,261.05 and 566.72

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Solution

The fourth proportional to 841.24, 1,261.05 and 566.72 is: 849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.24 : 1,261.05 = 566.72 : x
  2. Step 2: Convert to fraction form
    841.24/1,261.05 = 566.72/x
  3. Step 3: Cross multiply
    841.24x = 1,261.05 × 566.72
  4. Step 4: Simplify right side
    841.24x = 714,662.26
  5. Step 5: Solve for x
    x = 714,662.26/841.24
  6. Step 6: Final answer
    x = 849.53

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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.