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Finding the Fourth Proportional to 984.68, 1,477.02 and 254.26

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Solution

The fourth proportional to 984.68, 1,477.02 and 254.26 is: 381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.68 : 1,477.02 = 254.26 : x
  2. Step 2: Convert to fraction form
    984.68/1,477.02 = 254.26/x
  3. Step 3: Cross multiply
    984.68x = 1,477.02 × 254.26
  4. Step 4: Simplify right side
    984.68x = 375,547.11
  5. Step 5: Solve for x
    x = 375,547.11/984.68
  6. Step 6: Final answer
    x = 381.39

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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.