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Finding the Fourth Proportional to 853.02, 1,278.24 and 578.16

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Solution

The fourth proportional to 853.02, 1,278.24 and 578.16 is: 866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.02 : 1,278.24 = 578.16 : x
  2. Step 2: Convert to fraction form
    853.02/1,278.24 = 578.16/x
  3. Step 3: Cross multiply
    853.02x = 1,278.24 × 578.16
  4. Step 4: Simplify right side
    853.02x = 739,027.24
  5. Step 5: Solve for x
    x = 739,027.24/853.02
  6. Step 6: Final answer
    x = 866.37

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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.