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Finding the Fourth Proportional to 681.90, 1,021.02 and 437.70

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Solution

The fourth proportional to 681.90, 1,021.02 and 437.70 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.90 : 1,021.02 = 437.70 : x
  2. Step 2: Convert to fraction form
    681.90/1,021.02 = 437.70/x
  3. Step 3: Cross multiply
    681.90x = 1,021.02 × 437.70
  4. Step 4: Simplify right side
    681.90x = 446,900.45
  5. Step 5: Solve for x
    x = 446,900.45/681.90
  6. Step 6: Final answer
    x = 655.38

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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.