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Finding the Fourth Proportional to 1,384, 2,075.20 and 735.36

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Solution

The fourth proportional to 1,384, 2,075.20 and 735.36 is: 1,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384 : 2,075.20 = 735.36 : x
  2. Step 2: Convert to fraction form
    1,384/2,075.20 = 735.36/x
  3. Step 3: Cross multiply
    1,384x = 2,075.20 × 735.36
  4. Step 4: Simplify right side
    1,384x = 1,526,019.07
  5. Step 5: Solve for x
    x = 1,526,019.07/1,384
  6. Step 6: Final answer
    x = 1,102.61

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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.