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Finding the Fourth Proportional to 1,188.53, 1,640.18 and 664.57

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Solution

The fourth proportional to 1,188.53, 1,640.18 and 664.57 is: 917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.53 : 1,640.18 = 664.57 : x
  2. Step 2: Convert to fraction form
    1,188.53/1,640.18 = 664.57/x
  3. Step 3: Cross multiply
    1,188.53x = 1,640.18 × 664.57
  4. Step 4: Simplify right side
    1,188.53x = 1,090,005.17
  5. Step 5: Solve for x
    x = 1,090,005.17/1,188.53
  6. Step 6: Final answer
    x = 917.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.