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Finding the Fourth Proportional to 1,483.80, 2,226.08 and 509.90

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Solution

The fourth proportional to 1,483.80, 2,226.08 and 509.90 is: 764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.80 : 2,226.08 = 509.90 : x
  2. Step 2: Convert to fraction form
    1,483.80/2,226.08 = 509.90/x
  3. Step 3: Cross multiply
    1,483.80x = 2,226.08 × 509.90
  4. Step 4: Simplify right side
    1,483.80x = 1,135,078.19
  5. Step 5: Solve for x
    x = 1,135,078.19/1,483.80
  6. Step 6: Final answer
    x = 764.98

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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.