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Finding the Fourth Proportional to 841.87, 1,161.15 and 593.26

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Solution

The fourth proportional to 841.87, 1,161.15 and 593.26 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.87 : 1,161.15 = 593.26 : x
  2. Step 2: Convert to fraction form
    841.87/1,161.15 = 593.26/x
  3. Step 3: Cross multiply
    841.87x = 1,161.15 × 593.26
  4. Step 4: Simplify right side
    841.87x = 688,863.85
  5. Step 5: Solve for x
    x = 688,863.85/841.87
  6. Step 6: Final answer
    x = 818.25

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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.