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Finding the Fourth Proportional to 934.45, 1,289.53 and 514.80

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Solution

The fourth proportional to 934.45, 1,289.53 and 514.80 is: 710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.45 : 1,289.53 = 514.80 : x
  2. Step 2: Convert to fraction form
    934.45/1,289.53 = 514.80/x
  3. Step 3: Cross multiply
    934.45x = 1,289.53 × 514.80
  4. Step 4: Simplify right side
    934.45x = 663,858.31
  5. Step 5: Solve for x
    x = 663,858.31/934.45
  6. Step 6: Final answer
    x = 710.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.