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Finding the Fourth Proportional to 1,256.90, 1,734.54 and 759.45

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Solution

The fourth proportional to 1,256.90, 1,734.54 and 759.45 is: 1,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.90 : 1,734.54 = 759.45 : x
  2. Step 2: Convert to fraction form
    1,256.90/1,734.54 = 759.45/x
  3. Step 3: Cross multiply
    1,256.90x = 1,734.54 × 759.45
  4. Step 4: Simplify right side
    1,256.90x = 1,317,296.40
  5. Step 5: Solve for x
    x = 1,317,296.40/1,256.90
  6. Step 6: Final answer
    x = 1,048.05

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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.