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Finding the Fourth Proportional to 680.47, 1,021.38 and 485.69

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Solution

The fourth proportional to 680.47, 1,021.38 and 485.69 is: 729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.47 : 1,021.38 = 485.69 : x
  2. Step 2: Convert to fraction form
    680.47/1,021.38 = 485.69/x
  3. Step 3: Cross multiply
    680.47x = 1,021.38 × 485.69
  4. Step 4: Simplify right side
    680.47x = 496,068.95
  5. Step 5: Solve for x
    x = 496,068.95/680.47
  6. Step 6: Final answer
    x = 729.01

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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.