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Finding the Fourth Proportional to 1,384.28, 2,075.50 and 562.33

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Solution

The fourth proportional to 1,384.28, 2,075.50 and 562.33 is: 843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.28 : 2,075.50 = 562.33 : x
  2. Step 2: Convert to fraction form
    1,384.28/2,075.50 = 562.33/x
  3. Step 3: Cross multiply
    1,384.28x = 2,075.50 × 562.33
  4. Step 4: Simplify right side
    1,384.28x = 1,167,115.92
  5. Step 5: Solve for x
    x = 1,167,115.92/1,384.28
  6. Step 6: Final answer
    x = 843.12

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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.