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Finding the Fourth Proportional to 894.65, 1,233.73 and 580.01

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Solution

The fourth proportional to 894.65, 1,233.73 and 580.01 is: 799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.65 : 1,233.73 = 580.01 : x
  2. Step 2: Convert to fraction form
    894.65/1,233.73 = 580.01/x
  3. Step 3: Cross multiply
    894.65x = 1,233.73 × 580.01
  4. Step 4: Simplify right side
    894.65x = 715,577.23
  5. Step 5: Solve for x
    x = 715,577.23/894.65
  6. Step 6: Final answer
    x = 799.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.