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Finding the Fourth Proportional to 1,384.66, 2,075.04 and 768.64

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Solution

The fourth proportional to 1,384.66, 2,075.04 and 768.64 is: 1,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.66 : 2,075.04 = 768.64 : x
  2. Step 2: Convert to fraction form
    1,384.66/2,075.04 = 768.64/x
  3. Step 3: Cross multiply
    1,384.66x = 2,075.04 × 768.64
  4. Step 4: Simplify right side
    1,384.66x = 1,594,958.75
  5. Step 5: Solve for x
    x = 1,594,958.75/1,384.66
  6. Step 6: Final answer
    x = 1,151.88

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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.