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Finding the Fourth Proportional to 1,556.25, 2,334.38 and 582.81

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Solution

The fourth proportional to 1,556.25, 2,334.38 and 582.81 is: 874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.25 : 2,334.38 = 582.81 : x
  2. Step 2: Convert to fraction form
    1,556.25/2,334.38 = 582.81/x
  3. Step 3: Cross multiply
    1,556.25x = 2,334.38 × 582.81
  4. Step 4: Simplify right side
    1,556.25x = 1,360,497.09
  5. Step 5: Solve for x
    x = 1,360,497.09/1,556.25
  6. Step 6: Final answer
    x = 874.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.