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Finding the Fourth Proportional to 1,215.44, 1,823.18 and 435.49

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Solution

The fourth proportional to 1,215.44, 1,823.18 and 435.49 is: 653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.44 : 1,823.18 = 435.49 : x
  2. Step 2: Convert to fraction form
    1,215.44/1,823.18 = 435.49/x
  3. Step 3: Cross multiply
    1,215.44x = 1,823.18 × 435.49
  4. Step 4: Simplify right side
    1,215.44x = 793,976.66
  5. Step 5: Solve for x
    x = 793,976.66/1,215.44
  6. Step 6: Final answer
    x = 653.24

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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.