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Finding the Fourth Proportional to 1,052.87, 1,579.59 and 436.86

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Solution

The fourth proportional to 1,052.87, 1,579.59 and 436.86 is: 655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.87 : 1,579.59 = 436.86 : x
  2. Step 2: Convert to fraction form
    1,052.87/1,579.59 = 436.86/x
  3. Step 3: Cross multiply
    1,052.87x = 1,579.59 × 436.86
  4. Step 4: Simplify right side
    1,052.87x = 690,059.69
  5. Step 5: Solve for x
    x = 690,059.69/1,052.87
  6. Step 6: Final answer
    x = 655.41

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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.