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Finding the Fourth Proportional to 1,749.20, 2,624.81 and 653.40

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Solution

The fourth proportional to 1,749.20, 2,624.81 and 653.40 is: 980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.20 : 2,624.81 = 653.40 : x
  2. Step 2: Convert to fraction form
    1,749.20/2,624.81 = 653.40/x
  3. Step 3: Cross multiply
    1,749.20x = 2,624.81 × 653.40
  4. Step 4: Simplify right side
    1,749.20x = 1,715,047.59
  5. Step 5: Solve for x
    x = 1,715,047.59/1,749.20
  6. Step 6: Final answer
    x = 980.48

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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.