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Finding the Fourth Proportional to 1,260.52, 1,739.38 and 736.52

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Solution

The fourth proportional to 1,260.52, 1,739.38 and 736.52 is: 1,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.52 : 1,739.38 = 736.52 : x
  2. Step 2: Convert to fraction form
    1,260.52/1,739.38 = 736.52/x
  3. Step 3: Cross multiply
    1,260.52x = 1,739.38 × 736.52
  4. Step 4: Simplify right side
    1,260.52x = 1,281,088.16
  5. Step 5: Solve for x
    x = 1,281,088.16/1,260.52
  6. Step 6: Final answer
    x = 1,016.32

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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.