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Finding the Fourth Proportional to 984.02, 1,475.94 and 253.58

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Solution

The fourth proportional to 984.02, 1,475.94 and 253.58 is: 380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.02 : 1,475.94 = 253.58 : x
  2. Step 2: Convert to fraction form
    984.02/1,475.94 = 253.58/x
  3. Step 3: Cross multiply
    984.02x = 1,475.94 × 253.58
  4. Step 4: Simplify right side
    984.02x = 374,268.87
  5. Step 5: Solve for x
    x = 374,268.87/984.02
  6. Step 6: Final answer
    x = 380.35

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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.