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Finding the Fourth Proportional to 1,384.02, 2,075.71 and 396.81

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Solution

The fourth proportional to 1,384.02, 2,075.71 and 396.81 is: 595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.02 : 2,075.71 = 396.81 : x
  2. Step 2: Convert to fraction form
    1,384.02/2,075.71 = 396.81/x
  3. Step 3: Cross multiply
    1,384.02x = 2,075.71 × 396.81
  4. Step 4: Simplify right side
    1,384.02x = 823,661.49
  5. Step 5: Solve for x
    x = 823,661.49/1,384.02
  6. Step 6: Final answer
    x = 595.12

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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.