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Finding the Fourth Proportional to 830.61, 1,146.67 and 566.44

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Solution

The fourth proportional to 830.61, 1,146.67 and 566.44 is: 781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.61 : 1,146.67 = 566.44 : x
  2. Step 2: Convert to fraction form
    830.61/1,146.67 = 566.44/x
  3. Step 3: Cross multiply
    830.61x = 1,146.67 × 566.44
  4. Step 4: Simplify right side
    830.61x = 649,519.75
  5. Step 5: Solve for x
    x = 649,519.75/830.61
  6. Step 6: Final answer
    x = 781.98

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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.