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Finding the Fourth Proportional to 1,383.50, 2,075.66 and 517.88

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Solution

The fourth proportional to 1,383.50, 2,075.66 and 517.88 is: 776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.50 : 2,075.66 = 517.88 : x
  2. Step 2: Convert to fraction form
    1,383.50/2,075.66 = 517.88/x
  3. Step 3: Cross multiply
    1,383.50x = 2,075.66 × 517.88
  4. Step 4: Simplify right side
    1,383.50x = 1,074,929.83
  5. Step 5: Solve for x
    x = 1,074,929.83/1,383.50
  6. Step 6: Final answer
    x = 776.97

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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.