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Finding the Fourth Proportional to 1,259.01, 1,738.53 and 817.29

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Solution

The fourth proportional to 1,259.01, 1,738.53 and 817.29 is: 1,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.01 : 1,738.53 = 817.29 : x
  2. Step 2: Convert to fraction form
    1,259.01/1,738.53 = 817.29/x
  3. Step 3: Cross multiply
    1,259.01x = 1,738.53 × 817.29
  4. Step 4: Simplify right side
    1,259.01x = 1,420,883.18
  5. Step 5: Solve for x
    x = 1,420,883.18/1,259.01
  6. Step 6: Final answer
    x = 1,128.57

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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.