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Finding the Fourth Proportional to 1,159.22, 1,738.93 and 465.80

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Solution

The fourth proportional to 1,159.22, 1,738.93 and 465.80 is: 698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.22 : 1,738.93 = 465.80 : x
  2. Step 2: Convert to fraction form
    1,159.22/1,738.93 = 465.80/x
  3. Step 3: Cross multiply
    1,159.22x = 1,738.93 × 465.80
  4. Step 4: Simplify right side
    1,159.22x = 809,990.26
  5. Step 5: Solve for x
    x = 809,990.26/1,159.22
  6. Step 6: Final answer
    x = 698.74

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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.