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Finding the Fourth Proportional to 1,748.85, 2,623.74 and 579.06

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Solution

The fourth proportional to 1,748.85, 2,623.74 and 579.06 is: 868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.85 : 2,623.74 = 579.06 : x
  2. Step 2: Convert to fraction form
    1,748.85/2,623.74 = 579.06/x
  3. Step 3: Cross multiply
    1,748.85x = 2,623.74 × 579.06
  4. Step 4: Simplify right side
    1,748.85x = 1,519,302.88
  5. Step 5: Solve for x
    x = 1,519,302.88/1,748.85
  6. Step 6: Final answer
    x = 868.74

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1.5x scale

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.