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Finding the Fourth Proportional to 1,296.30, 1,942.47 and 971.46

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Solution

The fourth proportional to 1,296.30, 1,942.47 and 971.46 is: 1,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.30 : 1,942.47 = 971.46 : x
  2. Step 2: Convert to fraction form
    1,296.30/1,942.47 = 971.46/x
  3. Step 3: Cross multiply
    1,296.30x = 1,942.47 × 971.46
  4. Step 4: Simplify right side
    1,296.30x = 1,887,031.91
  5. Step 5: Solve for x
    x = 1,887,031.91/1,296.30
  6. Step 6: Final answer
    x = 1,455.71

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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.