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Finding the Fourth Proportional to 838.94, 1,157.24 and 590.48

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Solution

The fourth proportional to 838.94, 1,157.24 and 590.48 is: 814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.94 : 1,157.24 = 590.48 : x
  2. Step 2: Convert to fraction form
    838.94/1,157.24 = 590.48/x
  3. Step 3: Cross multiply
    838.94x = 1,157.24 × 590.48
  4. Step 4: Simplify right side
    838.94x = 683,318.34
  5. Step 5: Solve for x
    x = 683,318.34/838.94
  6. Step 6: Final answer
    x = 814.51

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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.