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Finding the Fourth Proportional to 937.05, 1,292.93 and 538.84

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Solution

The fourth proportional to 937.05, 1,292.93 and 538.84 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.05 : 1,292.93 = 538.84 : x
  2. Step 2: Convert to fraction form
    937.05/1,292.93 = 538.84/x
  3. Step 3: Cross multiply
    937.05x = 1,292.93 × 538.84
  4. Step 4: Simplify right side
    937.05x = 696,673.24
  5. Step 5: Solve for x
    x = 696,673.24/937.05
  6. Step 6: Final answer
    x = 743.47

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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.