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Finding the Fourth Proportional to 1,301.72, 1,953.37 and 685.87

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Solution

The fourth proportional to 1,301.72, 1,953.37 and 685.87 is: 1,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.72 : 1,953.37 = 685.87 : x
  2. Step 2: Convert to fraction form
    1,301.72/1,953.37 = 685.87/x
  3. Step 3: Cross multiply
    1,301.72x = 1,953.37 × 685.87
  4. Step 4: Simplify right side
    1,301.72x = 1,339,750.00
  5. Step 5: Solve for x
    x = 1,339,750.00/1,301.72
  6. Step 6: Final answer
    x = 1,029.21

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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.