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Finding the Fourth Proportional to 841.53, 1,261.67 and 566.85

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Solution

The fourth proportional to 841.53, 1,261.67 and 566.85 is: 849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.53 : 1,261.67 = 566.85 : x
  2. Step 2: Convert to fraction form
    841.53/1,261.67 = 566.85/x
  3. Step 3: Cross multiply
    841.53x = 1,261.67 × 566.85
  4. Step 4: Simplify right side
    841.53x = 715,174.81
  5. Step 5: Solve for x
    x = 715,174.81/841.53
  6. Step 6: Final answer
    x = 849.85

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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.