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Finding the Fourth Proportional to 1,052.68, 1,579.62 and 584.20

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Solution

The fourth proportional to 1,052.68, 1,579.62 and 584.20 is: 876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.68 : 1,579.62 = 584.20 : x
  2. Step 2: Convert to fraction form
    1,052.68/1,579.62 = 584.20/x
  3. Step 3: Cross multiply
    1,052.68x = 1,579.62 × 584.20
  4. Step 4: Simplify right side
    1,052.68x = 922,814.00
  5. Step 5: Solve for x
    x = 922,814.00/1,052.68
  6. Step 6: Final answer
    x = 876.63

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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.