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Finding the Fourth Proportional to 1,215.56, 1,823.94 and 830.04

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Solution

The fourth proportional to 1,215.56, 1,823.94 and 830.04 is: 1,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.56 : 1,823.94 = 830.04 : x
  2. Step 2: Convert to fraction form
    1,215.56/1,823.94 = 830.04/x
  3. Step 3: Cross multiply
    1,215.56x = 1,823.94 × 830.04
  4. Step 4: Simplify right side
    1,215.56x = 1,513,943.16
  5. Step 5: Solve for x
    x = 1,513,943.16/1,215.56
  6. Step 6: Final answer
    x = 1,245.47

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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.