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Finding the Fourth Proportional to 763.68, 1,153.80 and 755.64

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Solution

The fourth proportional to 763.68, 1,153.80 and 755.64 is: 1,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.68 : 1,153.80 = 755.64 : x
  2. Step 2: Convert to fraction form
    763.68/1,153.80 = 755.64/x
  3. Step 3: Cross multiply
    763.68x = 1,153.80 × 755.64
  4. Step 4: Simplify right side
    763.68x = 871,857.43
  5. Step 5: Solve for x
    x = 871,857.43/763.68
  6. Step 6: Final answer
    x = 1,141.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.