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Finding the Fourth Proportional to 957.63, 1,445.06 and 923.31

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Solution

The fourth proportional to 957.63, 1,445.06 and 923.31 is: 1,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.63 : 1,445.06 = 923.31 : x
  2. Step 2: Convert to fraction form
    957.63/1,445.06 = 923.31/x
  3. Step 3: Cross multiply
    957.63x = 1,445.06 × 923.31
  4. Step 4: Simplify right side
    957.63x = 1,334,233.73
  5. Step 5: Solve for x
    x = 1,334,233.73/957.63
  6. Step 6: Final answer
    x = 1,393.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.