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Finding the Fourth Proportional to 1,431.04, 1,974.24 and 964.48

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Solution

The fourth proportional to 1,431.04, 1,974.24 and 964.48 is: 1,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.04 : 1,974.24 = 964.48 : x
  2. Step 2: Convert to fraction form
    1,431.04/1,974.24 = 964.48/x
  3. Step 3: Cross multiply
    1,431.04x = 1,974.24 × 964.48
  4. Step 4: Simplify right side
    1,431.04x = 1,904,115.00
  5. Step 5: Solve for x
    x = 1,904,115.00/1,431.04
  6. Step 6: Final answer
    x = 1,330.58

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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.