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Finding the Fourth Proportional to 923.99, 1,384.63 and 729.47

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Solution

The fourth proportional to 923.99, 1,384.63 and 729.47 is: 1,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.99 : 1,384.63 = 729.47 : x
  2. Step 2: Convert to fraction form
    923.99/1,384.63 = 729.47/x
  3. Step 3: Cross multiply
    923.99x = 1,384.63 × 729.47
  4. Step 4: Simplify right side
    923.99x = 1,010,047.68
  5. Step 5: Solve for x
    x = 1,010,047.68/923.99
  6. Step 6: Final answer
    x = 1,093.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.