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Finding the Fourth Proportional to 1,664.84, 2,497.65 and 494.85

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Solution

The fourth proportional to 1,664.84, 2,497.65 and 494.85 is: 742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.84 : 2,497.65 = 494.85 : x
  2. Step 2: Convert to fraction form
    1,664.84/2,497.65 = 494.85/x
  3. Step 3: Cross multiply
    1,664.84x = 2,497.65 × 494.85
  4. Step 4: Simplify right side
    1,664.84x = 1,235,962.10
  5. Step 5: Solve for x
    x = 1,235,962.10/1,664.84
  6. Step 6: Final answer
    x = 742.39

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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.