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Finding the Fourth Proportional to 1,167.93, 1,750.32 and 756.84

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Solution

The fourth proportional to 1,167.93, 1,750.32 and 756.84 is: 1,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.93 : 1,750.32 = 756.84 : x
  2. Step 2: Convert to fraction form
    1,167.93/1,750.32 = 756.84/x
  3. Step 3: Cross multiply
    1,167.93x = 1,750.32 × 756.84
  4. Step 4: Simplify right side
    1,167.93x = 1,324,712.19
  5. Step 5: Solve for x
    x = 1,324,712.19/1,167.93
  6. Step 6: Final answer
    x = 1,134.24

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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.