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Finding the Fourth Proportional to 923.56, 1,274.63 and 525.35

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Solution

The fourth proportional to 923.56, 1,274.63 and 525.35 is: 725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.56 : 1,274.63 = 525.35 : x
  2. Step 2: Convert to fraction form
    923.56/1,274.63 = 525.35/x
  3. Step 3: Cross multiply
    923.56x = 1,274.63 × 525.35
  4. Step 4: Simplify right side
    923.56x = 669,626.87
  5. Step 5: Solve for x
    x = 669,626.87/923.56
  6. Step 6: Final answer
    x = 725.05

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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.