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Finding the Fourth Proportional to 1,010.72, 1,504.58 and 1,005.23

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Solution

The fourth proportional to 1,010.72, 1,504.58 and 1,005.23 is: 1,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.72 : 1,504.58 = 1,005.23 : x
  2. Step 2: Convert to fraction form
    1,010.72/1,504.58 = 1,005.23/x
  3. Step 3: Cross multiply
    1,010.72x = 1,504.58 × 1,005.23
  4. Step 4: Simplify right side
    1,010.72x = 1,512,448.95
  5. Step 5: Solve for x
    x = 1,512,448.95/1,010.72
  6. Step 6: Final answer
    x = 1,496.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.