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Finding the Fourth Proportional to 1,215.84, 1,824.07 and 350.16

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Solution

The fourth proportional to 1,215.84, 1,824.07 and 350.16 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.84 : 1,824.07 = 350.16 : x
  2. Step 2: Convert to fraction form
    1,215.84/1,824.07 = 350.16/x
  3. Step 3: Cross multiply
    1,215.84x = 1,824.07 × 350.16
  4. Step 4: Simplify right side
    1,215.84x = 638,709.29
  5. Step 5: Solve for x
    x = 638,709.29/1,215.84
  6. Step 6: Final answer
    x = 525.32

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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.