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Finding the Fourth Proportional to 1,215.49, 1,823.41 and 435.52

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Solution

The fourth proportional to 1,215.49, 1,823.41 and 435.52 is: 653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.49 : 1,823.41 = 435.52 : x
  2. Step 2: Convert to fraction form
    1,215.49/1,823.41 = 435.52/x
  3. Step 3: Cross multiply
    1,215.49x = 1,823.41 × 435.52
  4. Step 4: Simplify right side
    1,215.49x = 794,133.06
  5. Step 5: Solve for x
    x = 794,133.06/1,215.49
  6. Step 6: Final answer
    x = 653.34

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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.