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Finding the Fourth Proportional to 740.09, 1,020.92 and 460.37

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Solution

The fourth proportional to 740.09, 1,020.92 and 460.37 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.09 : 1,020.92 = 460.37 : x
  2. Step 2: Convert to fraction form
    740.09/1,020.92 = 460.37/x
  3. Step 3: Cross multiply
    740.09x = 1,020.92 × 460.37
  4. Step 4: Simplify right side
    740.09x = 469,993.53
  5. Step 5: Solve for x
    x = 469,993.53/740.09
  6. Step 6: Final answer
    x = 635.05

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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.