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Finding the Fourth Proportional to 923.37, 1,274.36 and 525.12

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Solution

The fourth proportional to 923.37, 1,274.36 and 525.12 is: 724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.37 : 1,274.36 = 525.12 : x
  2. Step 2: Convert to fraction form
    923.37/1,274.36 = 525.12/x
  3. Step 3: Cross multiply
    923.37x = 1,274.36 × 525.12
  4. Step 4: Simplify right side
    923.37x = 669,189.30
  5. Step 5: Solve for x
    x = 669,189.30/923.37
  6. Step 6: Final answer
    x = 724.72

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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.