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Finding the Fourth Proportional to 763.69, 1,145.53 and 186.57

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Solution

The fourth proportional to 763.69, 1,145.53 and 186.57 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.69 : 1,145.53 = 186.57 : x
  2. Step 2: Convert to fraction form
    763.69/1,145.53 = 186.57/x
  3. Step 3: Cross multiply
    763.69x = 1,145.53 × 186.57
  4. Step 4: Simplify right side
    763.69x = 213,720.60
  5. Step 5: Solve for x
    x = 213,720.60/763.69
  6. Step 6: Final answer
    x = 279.85

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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.