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Finding the Fourth Proportional to 1,479.79, 2,042.23 and 920.29

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Solution

The fourth proportional to 1,479.79, 2,042.23 and 920.29 is: 1,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.79 : 2,042.23 = 920.29 : x
  2. Step 2: Convert to fraction form
    1,479.79/2,042.23 = 920.29/x
  3. Step 3: Cross multiply
    1,479.79x = 2,042.23 × 920.29
  4. Step 4: Simplify right side
    1,479.79x = 1,879,432.37
  5. Step 5: Solve for x
    x = 1,879,432.37/1,479.79
  6. Step 6: Final answer
    x = 1,270.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.