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Finding the Fourth Proportional to 1,200.90, 1,657.49 and 759.35

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Solution

The fourth proportional to 1,200.90, 1,657.49 and 759.35 is: 1,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.90 : 1,657.49 = 759.35 : x
  2. Step 2: Convert to fraction form
    1,200.90/1,657.49 = 759.35/x
  3. Step 3: Cross multiply
    1,200.90x = 1,657.49 × 759.35
  4. Step 4: Simplify right side
    1,200.90x = 1,258,615.03
  5. Step 5: Solve for x
    x = 1,258,615.03/1,200.90
  6. Step 6: Final answer
    x = 1,048.06

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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.