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Finding the Fourth Proportional to 1,383.68, 2,075.52 and 409.76

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Solution

The fourth proportional to 1,383.68, 2,075.52 and 409.76 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.68 : 2,075.52 = 409.76 : x
  2. Step 2: Convert to fraction form
    1,383.68/2,075.52 = 409.76/x
  3. Step 3: Cross multiply
    1,383.68x = 2,075.52 × 409.76
  4. Step 4: Simplify right side
    1,383.68x = 850,464.02
  5. Step 5: Solve for x
    x = 850,464.02/1,383.68
  6. Step 6: Final answer
    x = 614.64

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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.