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Finding the Fourth Proportional to 984.80, 1,476.70 and 574.02

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Solution

The fourth proportional to 984.80, 1,476.70 and 574.02 is: 860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.80 : 1,476.70 = 574.02 : x
  2. Step 2: Convert to fraction form
    984.80/1,476.70 = 574.02/x
  3. Step 3: Cross multiply
    984.80x = 1,476.70 × 574.02
  4. Step 4: Simplify right side
    984.80x = 847,655.33
  5. Step 5: Solve for x
    x = 847,655.33/984.80
  6. Step 6: Final answer
    x = 860.74

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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.