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Finding the Fourth Proportional to 1,218.65, 1,824.87 and 670.23

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Solution

The fourth proportional to 1,218.65, 1,824.87 and 670.23 is: 1,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.65 : 1,824.87 = 670.23 : x
  2. Step 2: Convert to fraction form
    1,218.65/1,824.87 = 670.23/x
  3. Step 3: Cross multiply
    1,218.65x = 1,824.87 × 670.23
  4. Step 4: Simplify right side
    1,218.65x = 1,223,083.83
  5. Step 5: Solve for x
    x = 1,223,083.83/1,218.65
  6. Step 6: Final answer
    x = 1,003.64

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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.