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Finding the Fourth Proportional to 894.10, 1,341.15 and 829.30

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Solution

The fourth proportional to 894.10, 1,341.15 and 829.30 is: 1,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.10 : 1,341.15 = 829.30 : x
  2. Step 2: Convert to fraction form
    894.10/1,341.15 = 829.30/x
  3. Step 3: Cross multiply
    894.10x = 1,341.15 × 829.30
  4. Step 4: Simplify right side
    894.10x = 1,112,215.70
  5. Step 5: Solve for x
    x = 1,112,215.70/894.10
  6. Step 6: Final answer
    x = 1,243.95

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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.