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Finding the Fourth Proportional to 846.02, 1,166.82 and 566.30

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Solution

The fourth proportional to 846.02, 1,166.82 and 566.30 is: 781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.02 : 1,166.82 = 566.30 : x
  2. Step 2: Convert to fraction form
    846.02/1,166.82 = 566.30/x
  3. Step 3: Cross multiply
    846.02x = 1,166.82 × 566.30
  4. Step 4: Simplify right side
    846.02x = 660,770.17
  5. Step 5: Solve for x
    x = 660,770.17/846.02
  6. Step 6: Final answer
    x = 781.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.