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Finding the Fourth Proportional to 923.28, 1,386.36 and 882.24

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Solution

The fourth proportional to 923.28, 1,386.36 and 882.24 is: 1,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.28 : 1,386.36 = 882.24 : x
  2. Step 2: Convert to fraction form
    923.28/1,386.36 = 882.24/x
  3. Step 3: Cross multiply
    923.28x = 1,386.36 × 882.24
  4. Step 4: Simplify right side
    923.28x = 1,223,102.25
  5. Step 5: Solve for x
    x = 1,223,102.25/923.28
  6. Step 6: Final answer
    x = 1,324.74

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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.