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Finding the Fourth Proportional to 763.67, 1,145.51 and 186.55

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Solution

The fourth proportional to 763.67, 1,145.51 and 186.55 is: 279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.67 : 1,145.51 = 186.55 : x
  2. Step 2: Convert to fraction form
    763.67/1,145.51 = 186.55/x
  3. Step 3: Cross multiply
    763.67x = 1,145.51 × 186.55
  4. Step 4: Simplify right side
    763.67x = 213,689.16
  5. Step 5: Solve for x
    x = 213,689.16/763.67
  6. Step 6: Final answer
    x = 279.82

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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.