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Finding the Fourth Proportional to 1,215.23, 1,823.04 and 393.41

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Solution

The fourth proportional to 1,215.23, 1,823.04 and 393.41 is: 590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.23 : 1,823.04 = 393.41 : x
  2. Step 2: Convert to fraction form
    1,215.23/1,823.04 = 393.41/x
  3. Step 3: Cross multiply
    1,215.23x = 1,823.04 × 393.41
  4. Step 4: Simplify right side
    1,215.23x = 717,206.72
  5. Step 5: Solve for x
    x = 717,206.72/1,215.23
  6. Step 6: Final answer
    x = 590.18

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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.