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Finding the Fourth Proportional to 1,707.53, 2,559.27 and 731.57

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Solution

The fourth proportional to 1,707.53, 2,559.27 and 731.57 is: 1,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.53 : 2,559.27 = 731.57 : x
  2. Step 2: Convert to fraction form
    1,707.53/2,559.27 = 731.57/x
  3. Step 3: Cross multiply
    1,707.53x = 2,559.27 × 731.57
  4. Step 4: Simplify right side
    1,707.53x = 1,872,285.15
  5. Step 5: Solve for x
    x = 1,872,285.15/1,707.53
  6. Step 6: Final answer
    x = 1,096.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.