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Finding the Fourth Proportional to 954.40, 1,318.64 and 829.68

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Solution

The fourth proportional to 954.40, 1,318.64 and 829.68 is: 1,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.40 : 1,318.64 = 829.68 : x
  2. Step 2: Convert to fraction form
    954.40/1,318.64 = 829.68/x
  3. Step 3: Cross multiply
    954.40x = 1,318.64 × 829.68
  4. Step 4: Simplify right side
    954.40x = 1,094,049.24
  5. Step 5: Solve for x
    x = 1,094,049.24/954.40
  6. Step 6: Final answer
    x = 1,146.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.