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Finding the Fourth Proportional to 983.55, 1,475.32 and 367.10

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Solution

The fourth proportional to 983.55, 1,475.32 and 367.10 is: 550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.55 : 1,475.32 = 367.10 : x
  2. Step 2: Convert to fraction form
    983.55/1,475.32 = 367.10/x
  3. Step 3: Cross multiply
    983.55x = 1,475.32 × 367.10
  4. Step 4: Simplify right side
    983.55x = 541,582.60
  5. Step 5: Solve for x
    x = 541,582.60/983.55
  6. Step 6: Final answer
    x = 550.64

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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.