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Finding the Fourth Proportional to 1,588.57, 2,382.12 and 601.58

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Solution

The fourth proportional to 1,588.57, 2,382.12 and 601.58 is: 902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.57 : 2,382.12 = 601.58 : x
  2. Step 2: Convert to fraction form
    1,588.57/2,382.12 = 601.58/x
  3. Step 3: Cross multiply
    1,588.57x = 2,382.12 × 601.58
  4. Step 4: Simplify right side
    1,588.57x = 1,433,029.15
  5. Step 5: Solve for x
    x = 1,433,029.15/1,588.57
  6. Step 6: Final answer
    x = 902.08

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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.