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Finding the Fourth Proportional to 983.51, 1,475.72 and 618.20

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Solution

The fourth proportional to 983.51, 1,475.72 and 618.20 is: 927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.51 : 1,475.72 = 618.20 : x
  2. Step 2: Convert to fraction form
    983.51/1,475.72 = 618.20/x
  3. Step 3: Cross multiply
    983.51x = 1,475.72 × 618.20
  4. Step 4: Simplify right side
    983.51x = 912,290.10
  5. Step 5: Solve for x
    x = 912,290.10/983.51
  6. Step 6: Final answer
    x = 927.59

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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.