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Finding the Fourth Proportional to 1,748.98, 2,623.64 and 653.09

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Solution

The fourth proportional to 1,748.98, 2,623.64 and 653.09 is: 979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.98 : 2,623.64 = 653.09 : x
  2. Step 2: Convert to fraction form
    1,748.98/2,623.64 = 653.09/x
  3. Step 3: Cross multiply
    1,748.98x = 2,623.64 × 653.09
  4. Step 4: Simplify right side
    1,748.98x = 1,713,473.05
  5. Step 5: Solve for x
    x = 1,713,473.05/1,748.98
  6. Step 6: Final answer
    x = 979.70

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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.