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Finding the Fourth Proportional to 1,588.75, 2,383.20 and 601.46

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Solution

The fourth proportional to 1,588.75, 2,383.20 and 601.46 is: 902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.75 : 2,383.20 = 601.46 : x
  2. Step 2: Convert to fraction form
    1,588.75/2,383.20 = 601.46/x
  3. Step 3: Cross multiply
    1,588.75x = 2,383.20 × 601.46
  4. Step 4: Simplify right side
    1,588.75x = 1,433,399.47
  5. Step 5: Solve for x
    x = 1,433,399.47/1,588.75
  6. Step 6: Final answer
    x = 902.22

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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.