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Finding the Fourth Proportional to 1,189.16, 1,640.49 and 740.66

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Solution

The fourth proportional to 1,189.16, 1,640.49 and 740.66 is: 1,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.16 : 1,640.49 = 740.66 : x
  2. Step 2: Convert to fraction form
    1,189.16/1,640.49 = 740.66/x
  3. Step 3: Cross multiply
    1,189.16x = 1,640.49 × 740.66
  4. Step 4: Simplify right side
    1,189.16x = 1,215,045.32
  5. Step 5: Solve for x
    x = 1,215,045.32/1,189.16
  6. Step 6: Final answer
    x = 1,021.77

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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.