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Finding the Fourth Proportional to 1,188.29, 1,640.59 and 1,062.02

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Solution

The fourth proportional to 1,188.29, 1,640.59 and 1,062.02 is: 1,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.29 : 1,640.59 = 1,062.02 : x
  2. Step 2: Convert to fraction form
    1,188.29/1,640.59 = 1,062.02/x
  3. Step 3: Cross multiply
    1,188.29x = 1,640.59 × 1,062.02
  4. Step 4: Simplify right side
    1,188.29x = 1,742,340.84
  5. Step 5: Solve for x
    x = 1,742,340.84/1,188.29
  6. Step 6: Final answer
    x = 1,466.26

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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.