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Finding the Fourth Proportional to 937.49, 1,293.64 and 517.77

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Solution

The fourth proportional to 937.49, 1,293.64 and 517.77 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.49 : 1,293.64 = 517.77 : x
  2. Step 2: Convert to fraction form
    937.49/1,293.64 = 517.77/x
  3. Step 3: Cross multiply
    937.49x = 1,293.64 × 517.77
  4. Step 4: Simplify right side
    937.49x = 669,807.98
  5. Step 5: Solve for x
    x = 669,807.98/937.49
  6. Step 6: Final answer
    x = 714.47

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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.