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Finding the Fourth Proportional to 729.80, 1,094.70 and 567.80

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Solution

The fourth proportional to 729.80, 1,094.70 and 567.80 is: 851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.80 : 1,094.70 = 567.80 : x
  2. Step 2: Convert to fraction form
    729.80/1,094.70 = 567.80/x
  3. Step 3: Cross multiply
    729.80x = 1,094.70 × 567.80
  4. Step 4: Simplify right side
    729.80x = 621,570.66
  5. Step 5: Solve for x
    x = 621,570.66/729.80
  6. Step 6: Final answer
    x = 851.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.