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Finding the Fourth Proportional to 1,725.70, 2,588.28 and 571.45

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Solution

The fourth proportional to 1,725.70, 2,588.28 and 571.45 is: 857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.70 : 2,588.28 = 571.45 : x
  2. Step 2: Convert to fraction form
    1,725.70/2,588.28 = 571.45/x
  3. Step 3: Cross multiply
    1,725.70x = 2,588.28 × 571.45
  4. Step 4: Simplify right side
    1,725.70x = 1,479,063.99
  5. Step 5: Solve for x
    x = 1,479,063.99/1,725.70
  6. Step 6: Final answer
    x = 857.08

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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.