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Finding the Fourth Proportional to 674.21, 924.33 and 661.90

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Solution

The fourth proportional to 674.21, 924.33 and 661.90 is: 907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.21 : 924.33 = 661.90 : x
  2. Step 2: Convert to fraction form
    674.21/924.33 = 661.90/x
  3. Step 3: Cross multiply
    674.21x = 924.33 × 661.90
  4. Step 4: Simplify right side
    674.21x = 611,817.99
  5. Step 5: Solve for x
    x = 611,817.99/674.21
  6. Step 6: Final answer
    x = 907.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.