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Finding the Fourth Proportional to 984.91, 1,477.52 and 368.53

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Solution

The fourth proportional to 984.91, 1,477.52 and 368.53 is: 552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.91 : 1,477.52 = 368.53 : x
  2. Step 2: Convert to fraction form
    984.91/1,477.52 = 368.53/x
  3. Step 3: Cross multiply
    984.91x = 1,477.52 × 368.53
  4. Step 4: Simplify right side
    984.91x = 544,508.60
  5. Step 5: Solve for x
    x = 544,508.60/984.91
  6. Step 6: Final answer
    x = 552.85

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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.