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Finding the Fourth Proportional to 1,383.66, 2,075.46 and 459.22

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Solution

The fourth proportional to 1,383.66, 2,075.46 and 459.22 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.66 : 2,075.46 = 459.22 : x
  2. Step 2: Convert to fraction form
    1,383.66/2,075.46 = 459.22/x
  3. Step 3: Cross multiply
    1,383.66x = 2,075.46 × 459.22
  4. Step 4: Simplify right side
    1,383.66x = 953,092.74
  5. Step 5: Solve for x
    x = 953,092.74/1,383.66
  6. Step 6: Final answer
    x = 688.82

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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.