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Finding the Fourth Proportional to 837.56, 1,156.37 and 538.94

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Solution

The fourth proportional to 837.56, 1,156.37 and 538.94 is: 744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.56 : 1,156.37 = 538.94 : x
  2. Step 2: Convert to fraction form
    837.56/1,156.37 = 538.94/x
  3. Step 3: Cross multiply
    837.56x = 1,156.37 × 538.94
  4. Step 4: Simplify right side
    837.56x = 623,214.05
  5. Step 5: Solve for x
    x = 623,214.05/837.56
  6. Step 6: Final answer
    x = 744.08

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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.