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Finding the Fourth Proportional to 1,749.77, 2,624.49 and 653.93

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Solution

The fourth proportional to 1,749.77, 2,624.49 and 653.93 is: 980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.77 : 2,624.49 = 653.93 : x
  2. Step 2: Convert to fraction form
    1,749.77/2,624.49 = 653.93/x
  3. Step 3: Cross multiply
    1,749.77x = 2,624.49 × 653.93
  4. Step 4: Simplify right side
    1,749.77x = 1,716,219.62
  5. Step 5: Solve for x
    x = 1,716,219.62/1,749.77
  6. Step 6: Final answer
    x = 980.83

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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.