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Finding the Fourth Proportional to 983.53, 1,474.08 and 862.03

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Solution

The fourth proportional to 983.53, 1,474.08 and 862.03 is: 1,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.53 : 1,474.08 = 862.03 : x
  2. Step 2: Convert to fraction form
    983.53/1,474.08 = 862.03/x
  3. Step 3: Cross multiply
    983.53x = 1,474.08 × 862.03
  4. Step 4: Simplify right side
    983.53x = 1,270,701.18
  5. Step 5: Solve for x
    x = 1,270,701.18/983.53
  6. Step 6: Final answer
    x = 1,291.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.