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Finding the Fourth Proportional to 1,296.10, 1,941.27 and 645.47

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Solution

The fourth proportional to 1,296.10, 1,941.27 and 645.47 is: 966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.10 : 1,941.27 = 645.47 : x
  2. Step 2: Convert to fraction form
    1,296.10/1,941.27 = 645.47/x
  3. Step 3: Cross multiply
    1,296.10x = 1,941.27 × 645.47
  4. Step 4: Simplify right side
    1,296.10x = 1,253,026.70
  5. Step 5: Solve for x
    x = 1,253,026.70/1,296.10
  6. Step 6: Final answer
    x = 966.77

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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.