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Finding the Fourth Proportional to 1,383.84, 2,075.76 and 614.34

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Solution

The fourth proportional to 1,383.84, 2,075.76 and 614.34 is: 921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.84 : 2,075.76 = 614.34 : x
  2. Step 2: Convert to fraction form
    1,383.84/2,075.76 = 614.34/x
  3. Step 3: Cross multiply
    1,383.84x = 2,075.76 × 614.34
  4. Step 4: Simplify right side
    1,383.84x = 1,275,222.40
  5. Step 5: Solve for x
    x = 1,275,222.40/1,383.84
  6. Step 6: Final answer
    x = 921.51

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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.