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Finding the Fourth Proportional to 1,748.38, 2,623.02 and 652.75

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Solution

The fourth proportional to 1,748.38, 2,623.02 and 652.75 is: 979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.38 : 2,623.02 = 652.75 : x
  2. Step 2: Convert to fraction form
    1,748.38/2,623.02 = 652.75/x
  3. Step 3: Cross multiply
    1,748.38x = 2,623.02 × 652.75
  4. Step 4: Simplify right side
    1,748.38x = 1,712,176.31
  5. Step 5: Solve for x
    x = 1,712,176.31/1,748.38
  6. Step 6: Final answer
    x = 979.29

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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.