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Finding the Fourth Proportional to 1,483.61, 2,226.26 and 559.81

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Solution

The fourth proportional to 1,483.61, 2,226.26 and 559.81 is: 840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.61 : 2,226.26 = 559.81 : x
  2. Step 2: Convert to fraction form
    1,483.61/2,226.26 = 559.81/x
  3. Step 3: Cross multiply
    1,483.61x = 2,226.26 × 559.81
  4. Step 4: Simplify right side
    1,483.61x = 1,246,278.44
  5. Step 5: Solve for x
    x = 1,246,278.44/1,483.61
  6. Step 6: Final answer
    x = 840.03

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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.