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Finding the Fourth Proportional to 954.54, 1,431.54 and 808.38

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Solution

The fourth proportional to 954.54, 1,431.54 and 808.38 is: 1,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.54 : 1,431.54 = 808.38 : x
  2. Step 2: Convert to fraction form
    954.54/1,431.54 = 808.38/x
  3. Step 3: Cross multiply
    954.54x = 1,431.54 × 808.38
  4. Step 4: Simplify right side
    954.54x = 1,157,228.31
  5. Step 5: Solve for x
    x = 1,157,228.31/954.54
  6. Step 6: Final answer
    x = 1,212.34

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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.