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Finding the Fourth Proportional to 954.24, 1,433.04 and 940.56

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Solution

The fourth proportional to 954.24, 1,433.04 and 940.56 is: 1,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.24 : 1,433.04 = 940.56 : x
  2. Step 2: Convert to fraction form
    954.24/1,433.04 = 940.56/x
  3. Step 3: Cross multiply
    954.24x = 1,433.04 × 940.56
  4. Step 4: Simplify right side
    954.24x = 1,347,860.10
  5. Step 5: Solve for x
    x = 1,347,860.10/954.24
  6. Step 6: Final answer
    x = 1,412.50

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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.