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Finding the Fourth Proportional to 1,750.32, 2,625.96 and 517.68

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Solution

The fourth proportional to 1,750.32, 2,625.96 and 517.68 is: 776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.32 : 2,625.96 = 517.68 : x
  2. Step 2: Convert to fraction form
    1,750.32/2,625.96 = 517.68/x
  3. Step 3: Cross multiply
    1,750.32x = 2,625.96 × 517.68
  4. Step 4: Simplify right side
    1,750.32x = 1,359,406.97
  5. Step 5: Solve for x
    x = 1,359,406.97/1,750.32
  6. Step 6: Final answer
    x = 776.66

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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.