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Finding the Fourth Proportional to 984.88, 1,477.62 and 368.65

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Solution

The fourth proportional to 984.88, 1,477.62 and 368.65 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.88 : 1,477.62 = 368.65 : x
  2. Step 2: Convert to fraction form
    984.88/1,477.62 = 368.65/x
  3. Step 3: Cross multiply
    984.88x = 1,477.62 × 368.65
  4. Step 4: Simplify right side
    984.88x = 544,717.22
  5. Step 5: Solve for x
    x = 544,717.22/984.88
  6. Step 6: Final answer
    x = 553.08

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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.