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Finding the Fourth Proportional to 923.31, 1,274.20 and 530.33

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Solution

The fourth proportional to 923.31, 1,274.20 and 530.33 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.31 : 1,274.20 = 530.33 : x
  2. Step 2: Convert to fraction form
    923.31/1,274.20 = 530.33/x
  3. Step 3: Cross multiply
    923.31x = 1,274.20 × 530.33
  4. Step 4: Simplify right side
    923.31x = 675,738.79
  5. Step 5: Solve for x
    x = 675,738.79/923.31
  6. Step 6: Final answer
    x = 731.87

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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.