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Finding the Fourth Proportional to 1,748.89, 2,623.38 and 653.04

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Solution

The fourth proportional to 1,748.89, 2,623.38 and 653.04 is: 979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.89 : 2,623.38 = 653.04 : x
  2. Step 2: Convert to fraction form
    1,748.89/2,623.38 = 653.04/x
  3. Step 3: Cross multiply
    1,748.89x = 2,623.38 × 653.04
  4. Step 4: Simplify right side
    1,748.89x = 1,713,160.59
  5. Step 5: Solve for x
    x = 1,713,160.59/1,748.89
  6. Step 6: Final answer
    x = 979.57

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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.