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Finding the Fourth Proportional to 894.84, 1,339.04 and 757.46

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Solution

The fourth proportional to 894.84, 1,339.04 and 757.46 is: 1,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.84 : 1,339.04 = 757.46 : x
  2. Step 2: Convert to fraction form
    894.84/1,339.04 = 757.46/x
  3. Step 3: Cross multiply
    894.84x = 1,339.04 × 757.46
  4. Step 4: Simplify right side
    894.84x = 1,014,269.24
  5. Step 5: Solve for x
    x = 1,014,269.24/894.84
  6. Step 6: Final answer
    x = 1,133.46

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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.