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Finding the Fourth Proportional to 983.01, 1,474.35 and 289.60

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Solution

The fourth proportional to 983.01, 1,474.35 and 289.60 is: 434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.01 : 1,474.35 = 289.60 : x
  2. Step 2: Convert to fraction form
    983.01/1,474.35 = 289.60/x
  3. Step 3: Cross multiply
    983.01x = 1,474.35 × 289.60
  4. Step 4: Simplify right side
    983.01x = 426,971.76
  5. Step 5: Solve for x
    x = 426,971.76/983.01
  6. Step 6: Final answer
    x = 434.35

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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.