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Finding the Fourth Proportional to 1,205.53, 1,663.64 and 681.60

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Solution

The fourth proportional to 1,205.53, 1,663.64 and 681.60 is: 940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.53 : 1,663.64 = 681.60 : x
  2. Step 2: Convert to fraction form
    1,205.53/1,663.64 = 681.60/x
  3. Step 3: Cross multiply
    1,205.53x = 1,663.64 × 681.60
  4. Step 4: Simplify right side
    1,205.53x = 1,133,937.02
  5. Step 5: Solve for x
    x = 1,133,937.02/1,205.53
  6. Step 6: Final answer
    x = 940.61

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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.