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Finding the Fourth Proportional to 937.61, 1,293.81 and 517.93

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Solution

The fourth proportional to 937.61, 1,293.81 and 517.93 is: 714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.61 : 1,293.81 = 517.93 : x
  2. Step 2: Convert to fraction form
    937.61/1,293.81 = 517.93/x
  3. Step 3: Cross multiply
    937.61x = 1,293.81 × 517.93
  4. Step 4: Simplify right side
    937.61x = 670,097.84
  5. Step 5: Solve for x
    x = 670,097.84/937.61
  6. Step 6: Final answer
    x = 714.69

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