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Finding the Fourth Proportional to 1,383.63, 2,075.44 and 642.83

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Solution

The fourth proportional to 1,383.63, 2,075.44 and 642.83 is: 964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.63 : 2,075.44 = 642.83 : x
  2. Step 2: Convert to fraction form
    1,383.63/2,075.44 = 642.83/x
  3. Step 3: Cross multiply
    1,383.63x = 2,075.44 × 642.83
  4. Step 4: Simplify right side
    1,383.63x = 1,334,151.88
  5. Step 5: Solve for x
    x = 1,334,151.88/1,383.63
  6. Step 6: Final answer
    x = 964.24

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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.