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Finding the Fourth Proportional to 983.87, 1,474.26 and 573.20

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Solution

The fourth proportional to 983.87, 1,474.26 and 573.20 is: 858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.87 : 1,474.26 = 573.20 : x
  2. Step 2: Convert to fraction form
    983.87/1,474.26 = 573.20/x
  3. Step 3: Cross multiply
    983.87x = 1,474.26 × 573.20
  4. Step 4: Simplify right side
    983.87x = 845,038.46
  5. Step 5: Solve for x
    x = 845,038.46/983.87
  6. Step 6: Final answer
    x = 858.90

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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.