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Finding the Fourth Proportional to 1,203.86, 1,661.04 and 731.75

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Solution

The fourth proportional to 1,203.86, 1,661.04 and 731.75 is: 1,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.86 : 1,661.04 = 731.75 : x
  2. Step 2: Convert to fraction form
    1,203.86/1,661.04 = 731.75/x
  3. Step 3: Cross multiply
    1,203.86x = 1,661.04 × 731.75
  4. Step 4: Simplify right side
    1,203.86x = 1,215,457.71
  5. Step 5: Solve for x
    x = 1,215,457.71/1,203.86
  6. Step 6: Final answer
    x = 1,009.64

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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.