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Finding the Fourth Proportional to 1,748.05, 2,621.87 and 515.70

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Solution

The fourth proportional to 1,748.05, 2,621.87 and 515.70 is: 773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.05 : 2,621.87 = 515.70 : x
  2. Step 2: Convert to fraction form
    1,748.05/2,621.87 = 515.70/x
  3. Step 3: Cross multiply
    1,748.05x = 2,621.87 × 515.70
  4. Step 4: Simplify right side
    1,748.05x = 1,352,097.71
  5. Step 5: Solve for x
    x = 1,352,097.71/1,748.05
  6. Step 6: Final answer
    x = 773.49

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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.