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Finding the Fourth Proportional to 763.95, 1,148.23 and 504.84

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Solution

The fourth proportional to 763.95, 1,148.23 and 504.84 is: 758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.95 : 1,148.23 = 504.84 : x
  2. Step 2: Convert to fraction form
    763.95/1,148.23 = 504.84/x
  3. Step 3: Cross multiply
    763.95x = 1,148.23 × 504.84
  4. Step 4: Simplify right side
    763.95x = 579,672.07
  5. Step 5: Solve for x
    x = 579,672.07/763.95
  6. Step 6: Final answer
    x = 758.78

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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.