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Finding the Fourth Proportional to 923.82, 1,274.91 and 530.97

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Solution

The fourth proportional to 923.82, 1,274.91 and 530.97 is: 732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.82 : 1,274.91 = 530.97 : x
  2. Step 2: Convert to fraction form
    923.82/1,274.91 = 530.97/x
  3. Step 3: Cross multiply
    923.82x = 1,274.91 × 530.97
  4. Step 4: Simplify right side
    923.82x = 676,938.96
  5. Step 5: Solve for x
    x = 676,938.96/923.82
  6. Step 6: Final answer
    x = 732.76

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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.