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Finding the Fourth Proportional to 1,384.14, 2,075.23 and 653

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Solution

The fourth proportional to 1,384.14, 2,075.23 and 653 is: 979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.14 : 2,075.23 = 653 : x
  2. Step 2: Convert to fraction form
    1,384.14/2,075.23 = 653/x
  3. Step 3: Cross multiply
    1,384.14x = 2,075.23 × 653
  4. Step 4: Simplify right side
    1,384.14x = 1,355,121.93
  5. Step 5: Solve for x
    x = 1,355,121.93/1,384.14
  6. Step 6: Final answer
    x = 979.04

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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.