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Finding the Fourth Proportional to 1,748.99, 2,624.20 and 653.67

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Solution

The fourth proportional to 1,748.99, 2,624.20 and 653.67 is: 980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.99 : 2,624.20 = 653.67 : x
  2. Step 2: Convert to fraction form
    1,748.99/2,624.20 = 653.67/x
  3. Step 3: Cross multiply
    1,748.99x = 2,624.20 × 653.67
  4. Step 4: Simplify right side
    1,748.99x = 1,715,359.18
  5. Step 5: Solve for x
    x = 1,715,359.18/1,748.99
  6. Step 6: Final answer
    x = 980.77

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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.