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Finding the Fourth Proportional to 838.50, 1,156.14 and 590.64

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Solution

The fourth proportional to 838.50, 1,156.14 and 590.64 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,156.14 = 590.64 : x
  2. Step 2: Convert to fraction form
    838.50/1,156.14 = 590.64/x
  3. Step 3: Cross multiply
    838.50x = 1,156.14 × 590.64
  4. Step 4: Simplify right side
    838.50x = 682,862.53
  5. Step 5: Solve for x
    x = 682,862.53/838.50
  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.