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Finding the Fourth Proportional to 1,059.03, 1,588.82 and 482.31

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Solution

The fourth proportional to 1,059.03, 1,588.82 and 482.31 is: 723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.03 : 1,588.82 = 482.31 : x
  2. Step 2: Convert to fraction form
    1,059.03/1,588.82 = 482.31/x
  3. Step 3: Cross multiply
    1,059.03x = 1,588.82 × 482.31
  4. Step 4: Simplify right side
    1,059.03x = 766,301.36
  5. Step 5: Solve for x
    x = 766,301.36/1,059.03
  6. Step 6: Final answer
    x = 723.59

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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.