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Finding the Fourth Proportional to 1,180.16, 1,628.40 and 786.50

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Solution

The fourth proportional to 1,180.16, 1,628.40 and 786.50 is: 1,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.16 : 1,628.40 = 786.50 : x
  2. Step 2: Convert to fraction form
    1,180.16/1,628.40 = 786.50/x
  3. Step 3: Cross multiply
    1,180.16x = 1,628.40 × 786.50
  4. Step 4: Simplify right side
    1,180.16x = 1,280,736.60
  5. Step 5: Solve for x
    x = 1,280,736.60/1,180.16
  6. Step 6: Final answer
    x = 1,085.22

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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.