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Finding the Fourth Proportional to 1,052.26, 1,578.74 and 437.16

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Solution

The fourth proportional to 1,052.26, 1,578.74 and 437.16 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.26 : 1,578.74 = 437.16 : x
  2. Step 2: Convert to fraction form
    1,052.26/1,578.74 = 437.16/x
  3. Step 3: Cross multiply
    1,052.26x = 1,578.74 × 437.16
  4. Step 4: Simplify right side
    1,052.26x = 690,161.98
  5. Step 5: Solve for x
    x = 690,161.98/1,052.26
  6. Step 6: Final answer
    x = 655.89

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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.