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Finding the Fourth Proportional to 853.72, 1,278.52 and 578.98

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Solution

The fourth proportional to 853.72, 1,278.52 and 578.98 is: 867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.72 : 1,278.52 = 578.98 : x
  2. Step 2: Convert to fraction form
    853.72/1,278.52 = 578.98/x
  3. Step 3: Cross multiply
    853.72x = 1,278.52 × 578.98
  4. Step 4: Simplify right side
    853.72x = 740,237.51
  5. Step 5: Solve for x
    x = 740,237.51/853.72
  6. Step 6: Final answer
    x = 867.07

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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.