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Finding the Fourth Proportional to 1,384.48, 2,075.44 and 519.36

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Solution

The fourth proportional to 1,384.48, 2,075.44 and 519.36 is: 778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.48 : 2,075.44 = 519.36 : x
  2. Step 2: Convert to fraction form
    1,384.48/2,075.44 = 519.36/x
  3. Step 3: Cross multiply
    1,384.48x = 2,075.44 × 519.36
  4. Step 4: Simplify right side
    1,384.48x = 1,077,900.52
  5. Step 5: Solve for x
    x = 1,077,900.52/1,384.48
  6. Step 6: Final answer
    x = 778.56

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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.