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Finding the Fourth Proportional to 894.77, 1,340.22 and 483.04

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Solution

The fourth proportional to 894.77, 1,340.22 and 483.04 is: 723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.77 : 1,340.22 = 483.04 : x
  2. Step 2: Convert to fraction form
    894.77/1,340.22 = 483.04/x
  3. Step 3: Cross multiply
    894.77x = 1,340.22 × 483.04
  4. Step 4: Simplify right side
    894.77x = 647,378.23
  5. Step 5: Solve for x
    x = 647,378.23/894.77
  6. Step 6: Final answer
    x = 723.51

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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.