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Finding the Fourth Proportional to 1,144.92, 1,708.40 and 1,075.28

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Solution

The fourth proportional to 1,144.92, 1,708.40 and 1,075.28 is: 1,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.92 : 1,708.40 = 1,075.28 : x
  2. Step 2: Convert to fraction form
    1,144.92/1,708.40 = 1,075.28/x
  3. Step 3: Cross multiply
    1,144.92x = 1,708.40 × 1,075.28
  4. Step 4: Simplify right side
    1,144.92x = 1,837,008.35
  5. Step 5: Solve for x
    x = 1,837,008.35/1,144.92
  6. Step 6: Final answer
    x = 1,604.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.