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Finding the Fourth Proportional to 1,302.37, 1,952.75 and 685.69

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Solution

The fourth proportional to 1,302.37, 1,952.75 and 685.69 is: 1,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.37 : 1,952.75 = 685.69 : x
  2. Step 2: Convert to fraction form
    1,302.37/1,952.75 = 685.69/x
  3. Step 3: Cross multiply
    1,302.37x = 1,952.75 × 685.69
  4. Step 4: Simplify right side
    1,302.37x = 1,338,977.72
  5. Step 5: Solve for x
    x = 1,338,977.72/1,302.37
  6. Step 6: Final answer
    x = 1,028.11

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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.