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Finding the Fourth Proportional to 1,171.29, 1,756.94 and 305.67

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Solution

The fourth proportional to 1,171.29, 1,756.94 and 305.67 is: 458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.29 : 1,756.94 = 305.67 : x
  2. Step 2: Convert to fraction form
    1,171.29/1,756.94 = 305.67/x
  3. Step 3: Cross multiply
    1,171.29x = 1,756.94 × 305.67
  4. Step 4: Simplify right side
    1,171.29x = 537,042.32
  5. Step 5: Solve for x
    x = 537,042.32/1,171.29
  6. Step 6: Final answer
    x = 458.51

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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.