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Finding the Fourth Proportional to 923.82, 1,274.98 and 525.60

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Solution

The fourth proportional to 923.82, 1,274.98 and 525.60 is: 725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.82 : 1,274.98 = 525.60 : x
  2. Step 2: Convert to fraction form
    923.82/1,274.98 = 525.60/x
  3. Step 3: Cross multiply
    923.82x = 1,274.98 × 525.60
  4. Step 4: Simplify right side
    923.82x = 670,129.49
  5. Step 5: Solve for x
    x = 670,129.49/923.82
  6. Step 6: Final answer
    x = 725.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.