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Finding the Fourth Proportional to 1,265.48, 1,896.54 and 717.96

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Solution

The fourth proportional to 1,265.48, 1,896.54 and 717.96 is: 1,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.48 : 1,896.54 = 717.96 : x
  2. Step 2: Convert to fraction form
    1,265.48/1,896.54 = 717.96/x
  3. Step 3: Cross multiply
    1,265.48x = 1,896.54 × 717.96
  4. Step 4: Simplify right side
    1,265.48x = 1,361,639.86
  5. Step 5: Solve for x
    x = 1,361,639.86/1,265.48
  6. Step 6: Final answer
    x = 1,075.99

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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.