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Finding the Fourth Proportional to 1,588.71, 2,383.10 and 493.05

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Solution

The fourth proportional to 1,588.71, 2,383.10 and 493.05 is: 739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.71 : 2,383.10 = 493.05 : x
  2. Step 2: Convert to fraction form
    1,588.71/2,383.10 = 493.05/x
  3. Step 3: Cross multiply
    1,588.71x = 2,383.10 × 493.05
  4. Step 4: Simplify right side
    1,588.71x = 1,174,984.99
  5. Step 5: Solve for x
    x = 1,174,984.99/1,588.71
  6. Step 6: Final answer
    x = 739.58

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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.