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Finding the Fourth Proportional to 916.37, 1,264.46 and 517.96

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Solution

The fourth proportional to 916.37, 1,264.46 and 517.96 is: 714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.37 : 1,264.46 = 517.96 : x
  2. Step 2: Convert to fraction form
    916.37/1,264.46 = 517.96/x
  3. Step 3: Cross multiply
    916.37x = 1,264.46 × 517.96
  4. Step 4: Simplify right side
    916.37x = 654,939.70
  5. Step 5: Solve for x
    x = 654,939.70/916.37
  6. Step 6: Final answer
    x = 714.71

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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.