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Finding the Fourth Proportional to 1,749.24, 2,624.76 and 776.03

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Solution

The fourth proportional to 1,749.24, 2,624.76 and 776.03 is: 1,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.24 : 2,624.76 = 776.03 : x
  2. Step 2: Convert to fraction form
    1,749.24/2,624.76 = 776.03/x
  3. Step 3: Cross multiply
    1,749.24x = 2,624.76 × 776.03
  4. Step 4: Simplify right side
    1,749.24x = 2,036,892.50
  5. Step 5: Solve for x
    x = 2,036,892.50/1,749.24
  6. Step 6: Final answer
    x = 1,164.44

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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.