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Finding the Fourth Proportional to 1,588.86, 2,383.38 and 434.64

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Solution

The fourth proportional to 1,588.86, 2,383.38 and 434.64 is: 651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.86 : 2,383.38 = 434.64 : x
  2. Step 2: Convert to fraction form
    1,588.86/2,383.38 = 434.64/x
  3. Step 3: Cross multiply
    1,588.86x = 2,383.38 × 434.64
  4. Step 4: Simplify right side
    1,588.86x = 1,035,912.28
  5. Step 5: Solve for x
    x = 1,035,912.28/1,588.86
  6. Step 6: Final answer
    x = 651.98

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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.