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Finding the Fourth Proportional to 981.04, 1,474.62 and 618.16

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Solution

The fourth proportional to 981.04, 1,474.62 and 618.16 is: 929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.04 : 1,474.62 = 618.16 : x
  2. Step 2: Convert to fraction form
    981.04/1,474.62 = 618.16/x
  3. Step 3: Cross multiply
    981.04x = 1,474.62 × 618.16
  4. Step 4: Simplify right side
    981.04x = 911,551.10
  5. Step 5: Solve for x
    x = 911,551.10/981.04
  6. Step 6: Final answer
    x = 929.17

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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.