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Finding the Fourth Proportional to 1,265.29, 1,896.19 and 647.68

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Solution

The fourth proportional to 1,265.29, 1,896.19 and 647.68 is: 970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.29 : 1,896.19 = 647.68 : x
  2. Step 2: Convert to fraction form
    1,265.29/1,896.19 = 647.68/x
  3. Step 3: Cross multiply
    1,265.29x = 1,896.19 × 647.68
  4. Step 4: Simplify right side
    1,265.29x = 1,228,124.34
  5. Step 5: Solve for x
    x = 1,228,124.34/1,265.29
  6. Step 6: Final answer
    x = 970.63

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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.