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Finding the Fourth Proportional to 923.88, 1,386.04 and 274.60

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Solution

The fourth proportional to 923.88, 1,386.04 and 274.60 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.88 : 1,386.04 = 274.60 : x
  2. Step 2: Convert to fraction form
    923.88/1,386.04 = 274.60/x
  3. Step 3: Cross multiply
    923.88x = 1,386.04 × 274.60
  4. Step 4: Simplify right side
    923.88x = 380,606.58
  5. Step 5: Solve for x
    x = 380,606.58/923.88
  6. Step 6: Final answer
    x = 411.97

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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.