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Finding the Fourth Proportional to 983.18, 1,474.80 and 406.10

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Solution

The fourth proportional to 983.18, 1,474.80 and 406.10 is: 609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.18 : 1,474.80 = 406.10 : x
  2. Step 2: Convert to fraction form
    983.18/1,474.80 = 406.10/x
  3. Step 3: Cross multiply
    983.18x = 1,474.80 × 406.10
  4. Step 4: Simplify right side
    983.18x = 598,916.28
  5. Step 5: Solve for x
    x = 598,916.28/983.18
  6. Step 6: Final answer
    x = 609.16

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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.