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Finding the Fourth Proportional to 1,393.84, 2,090.52 and 614

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Solution

The fourth proportional to 1,393.84, 2,090.52 and 614 is: 920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.84 : 2,090.52 = 614 : x
  2. Step 2: Convert to fraction form
    1,393.84/2,090.52 = 614/x
  3. Step 3: Cross multiply
    1,393.84x = 2,090.52 × 614
  4. Step 4: Simplify right side
    1,393.84x = 1,283,579.28
  5. Step 5: Solve for x
    x = 1,283,579.28/1,393.84
  6. Step 6: Final answer
    x = 920.89

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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.