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Finding the Fourth Proportional to 1,180.02, 1,626.84 and 913.98

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Solution

The fourth proportional to 1,180.02, 1,626.84 and 913.98 is: 1,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.02 : 1,626.84 = 913.98 : x
  2. Step 2: Convert to fraction form
    1,180.02/1,626.84 = 913.98/x
  3. Step 3: Cross multiply
    1,180.02x = 1,626.84 × 913.98
  4. Step 4: Simplify right side
    1,180.02x = 1,486,899.22
  5. Step 5: Solve for x
    x = 1,486,899.22/1,180.02
  6. Step 6: Final answer
    x = 1,260.06

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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.