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Finding the Fourth Proportional to 1,750.12, 2,624.81 and 517.54

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Solution

The fourth proportional to 1,750.12, 2,624.81 and 517.54 is: 776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.12 : 2,624.81 = 517.54 : x
  2. Step 2: Convert to fraction form
    1,750.12/2,624.81 = 517.54/x
  3. Step 3: Cross multiply
    1,750.12x = 2,624.81 × 517.54
  4. Step 4: Simplify right side
    1,750.12x = 1,358,439.94
  5. Step 5: Solve for x
    x = 1,358,439.94/1,750.12
  6. Step 6: Final answer
    x = 776.20

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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.