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Finding the Fourth Proportional to 1,199.06, 1,798.60 and 582.56

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Solution

The fourth proportional to 1,199.06, 1,798.60 and 582.56 is: 873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.06 : 1,798.60 = 582.56 : x
  2. Step 2: Convert to fraction form
    1,199.06/1,798.60 = 582.56/x
  3. Step 3: Cross multiply
    1,199.06x = 1,798.60 × 582.56
  4. Step 4: Simplify right side
    1,199.06x = 1,047,792.42
  5. Step 5: Solve for x
    x = 1,047,792.42/1,199.06
  6. Step 6: Final answer
    x = 873.84

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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.