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Finding the Fourth Proportional to 983.14, 1,475.82 and 618.23

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Solution

The fourth proportional to 983.14, 1,475.82 and 618.23 is: 928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.14 : 1,475.82 = 618.23 : x
  2. Step 2: Convert to fraction form
    983.14/1,475.82 = 618.23/x
  3. Step 3: Cross multiply
    983.14x = 1,475.82 × 618.23
  4. Step 4: Simplify right side
    983.14x = 912,399.89
  5. Step 5: Solve for x
    x = 912,399.89/983.14
  6. Step 6: Final answer
    x = 928.05

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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.