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Finding the Fourth Proportional to 1,725.64, 2,588.74 and 685.65

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Solution

The fourth proportional to 1,725.64, 2,588.74 and 685.65 is: 1,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.64 : 2,588.74 = 685.65 : x
  2. Step 2: Convert to fraction form
    1,725.64/2,588.74 = 685.65/x
  3. Step 3: Cross multiply
    1,725.64x = 2,588.74 × 685.65
  4. Step 4: Simplify right side
    1,725.64x = 1,774,969.58
  5. Step 5: Solve for x
    x = 1,774,969.58/1,725.64
  6. Step 6: Final answer
    x = 1,028.59

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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.