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Finding the Fourth Proportional to 841.60, 1,180.80 and 841.60

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Solution

The fourth proportional to 841.60, 1,180.80 and 841.60 is: 1,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.60 : 1,180.80 = 841.60 : x
  2. Step 2: Convert to fraction form
    841.60/1,180.80 = 841.60/x
  3. Step 3: Cross multiply
    841.60x = 1,180.80 × 841.60
  4. Step 4: Simplify right side
    841.60x = 993,761.28
  5. Step 5: Solve for x
    x = 993,761.28/841.60
  6. Step 6: Final answer
    x = 1,180.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.