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Finding the Fourth Proportional to 1,287.72, 1,776.95 and 728.25

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Solution

The fourth proportional to 1,287.72, 1,776.95 and 728.25 is: 1,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.72 : 1,776.95 = 728.25 : x
  2. Step 2: Convert to fraction form
    1,287.72/1,776.95 = 728.25/x
  3. Step 3: Cross multiply
    1,287.72x = 1,776.95 × 728.25
  4. Step 4: Simplify right side
    1,287.72x = 1,294,063.84
  5. Step 5: Solve for x
    x = 1,294,063.84/1,287.72
  6. Step 6: Final answer
    x = 1,004.93

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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.