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Finding the Fourth Proportional to 1,180.02, 1,621.76 and 917.58

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Solution

The fourth proportional to 1,180.02, 1,621.76 and 917.58 is: 1,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.02 : 1,621.76 = 917.58 : x
  2. Step 2: Convert to fraction form
    1,180.02/1,621.76 = 917.58/x
  3. Step 3: Cross multiply
    1,180.02x = 1,621.76 × 917.58
  4. Step 4: Simplify right side
    1,180.02x = 1,488,086.43
  5. Step 5: Solve for x
    x = 1,488,086.43/1,180.02
  6. Step 6: Final answer
    x = 1,261.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.