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Finding the Fourth Proportional to 1,010.76, 1,504.23 and 1,007.88

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Solution

The fourth proportional to 1,010.76, 1,504.23 and 1,007.88 is: 1,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.76 : 1,504.23 = 1,007.88 : x
  2. Step 2: Convert to fraction form
    1,010.76/1,504.23 = 1,007.88/x
  3. Step 3: Cross multiply
    1,010.76x = 1,504.23 × 1,007.88
  4. Step 4: Simplify right side
    1,010.76x = 1,516,083.33
  5. Step 5: Solve for x
    x = 1,516,083.33/1,010.76
  6. Step 6: Final answer
    x = 1,499.94

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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.