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Finding the Fourth Proportional to 1,219.08, 1,828.62 and 670.98

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Solution

The fourth proportional to 1,219.08, 1,828.62 and 670.98 is: 1,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.08 : 1,828.62 = 670.98 : x
  2. Step 2: Convert to fraction form
    1,219.08/1,828.62 = 670.98/x
  3. Step 3: Cross multiply
    1,219.08x = 1,828.62 × 670.98
  4. Step 4: Simplify right side
    1,219.08x = 1,226,967.45
  5. Step 5: Solve for x
    x = 1,226,967.45/1,219.08
  6. Step 6: Final answer
    x = 1,006.47

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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.