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Finding the Fourth Proportional to 923.21, 1,384.82 and 538.19

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Solution

The fourth proportional to 923.21, 1,384.82 and 538.19 is: 807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.21 : 1,384.82 = 538.19 : x
  2. Step 2: Convert to fraction form
    923.21/1,384.82 = 538.19/x
  3. Step 3: Cross multiply
    923.21x = 1,384.82 × 538.19
  4. Step 4: Simplify right side
    923.21x = 745,296.28
  5. Step 5: Solve for x
    x = 745,296.28/923.21
  6. Step 6: Final answer
    x = 807.29

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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.