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Finding the Fourth Proportional to 1,076.03, 1,614.02 and 582.68

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Solution

The fourth proportional to 1,076.03, 1,614.02 and 582.68 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.03 : 1,614.02 = 582.68 : x
  2. Step 2: Convert to fraction form
    1,076.03/1,614.02 = 582.68/x
  3. Step 3: Cross multiply
    1,076.03x = 1,614.02 × 582.68
  4. Step 4: Simplify right side
    1,076.03x = 940,446.19
  5. Step 5: Solve for x
    x = 940,446.19/1,076.03
  6. Step 6: Final answer
    x = 874.00

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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.