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Finding the Fourth Proportional to 1,258.52, 1,736.90 and 761.20

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Solution

The fourth proportional to 1,258.52, 1,736.90 and 761.20 is: 1,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.52 : 1,736.90 = 761.20 : x
  2. Step 2: Convert to fraction form
    1,258.52/1,736.90 = 761.20/x
  3. Step 3: Cross multiply
    1,258.52x = 1,736.90 × 761.20
  4. Step 4: Simplify right side
    1,258.52x = 1,322,128.28
  5. Step 5: Solve for x
    x = 1,322,128.28/1,258.52
  6. Step 6: Final answer
    x = 1,050.54

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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.