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Finding the Fourth Proportional to 1,750.74, 2,625.42 and 517.74

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Solution

The fourth proportional to 1,750.74, 2,625.42 and 517.74 is: 776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.74 : 2,625.42 = 517.74 : x
  2. Step 2: Convert to fraction form
    1,750.74/2,625.42 = 517.74/x
  3. Step 3: Cross multiply
    1,750.74x = 2,625.42 × 517.74
  4. Step 4: Simplify right side
    1,750.74x = 1,359,284.95
  5. Step 5: Solve for x
    x = 1,359,284.95/1,750.74
  6. Step 6: Final answer
    x = 776.41

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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.