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Finding the Fourth Proportional to 1,001.63, 1,503.23 and 654.88

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Solution

The fourth proportional to 1,001.63, 1,503.23 and 654.88 is: 982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.63 : 1,503.23 = 654.88 : x
  2. Step 2: Convert to fraction form
    1,001.63/1,503.23 = 654.88/x
  3. Step 3: Cross multiply
    1,001.63x = 1,503.23 × 654.88
  4. Step 4: Simplify right side
    1,001.63x = 984,435.26
  5. Step 5: Solve for x
    x = 984,435.26/1,001.63
  6. Step 6: Final answer
    x = 982.83

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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.