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Finding the Fourth Proportional to 838.65, 1,157.57 and 590.02

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Solution

The fourth proportional to 838.65, 1,157.57 and 590.02 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.65 : 1,157.57 = 590.02 : x
  2. Step 2: Convert to fraction form
    838.65/1,157.57 = 590.02/x
  3. Step 3: Cross multiply
    838.65x = 1,157.57 × 590.02
  4. Step 4: Simplify right side
    838.65x = 682,989.45
  5. Step 5: Solve for x
    x = 682,989.45/838.65
  6. Step 6: Final answer
    x = 814.39

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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.