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Finding the Fourth Proportional to 923.99, 1,274.49 and 591.89

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Solution

The fourth proportional to 923.99, 1,274.49 and 591.89 is: 816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.99 : 1,274.49 = 591.89 : x
  2. Step 2: Convert to fraction form
    923.99/1,274.49 = 591.89/x
  3. Step 3: Cross multiply
    923.99x = 1,274.49 × 591.89
  4. Step 4: Simplify right side
    923.99x = 754,351.51
  5. Step 5: Solve for x
    x = 754,351.51/923.99
  6. Step 6: Final answer
    x = 816.41

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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.