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Finding the Fourth Proportional to 1,483.84, 2,226.24 and 509.95

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Solution

The fourth proportional to 1,483.84, 2,226.24 and 509.95 is: 765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.84 : 2,226.24 = 509.95 : x
  2. Step 2: Convert to fraction form
    1,483.84/2,226.24 = 509.95/x
  3. Step 3: Cross multiply
    1,483.84x = 2,226.24 × 509.95
  4. Step 4: Simplify right side
    1,483.84x = 1,135,271.09
  5. Step 5: Solve for x
    x = 1,135,271.09/1,483.84
  6. Step 6: Final answer
    x = 765.09

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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.