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Finding the Fourth Proportional to 1,725.80, 2,588.85 and 555.90

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Solution

The fourth proportional to 1,725.80, 2,588.85 and 555.90 is: 833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.80 : 2,588.85 = 555.90 : x
  2. Step 2: Convert to fraction form
    1,725.80/2,588.85 = 555.90/x
  3. Step 3: Cross multiply
    1,725.80x = 2,588.85 × 555.90
  4. Step 4: Simplify right side
    1,725.80x = 1,439,141.72
  5. Step 5: Solve for x
    x = 1,439,141.72/1,725.80
  6. Step 6: Final answer
    x = 833.90

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