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Finding the Fourth Proportional to 1,005.18, 1,504.89 and 619.26

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Solution

The fourth proportional to 1,005.18, 1,504.89 and 619.26 is: 927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.18 : 1,504.89 = 619.26 : x
  2. Step 2: Convert to fraction form
    1,005.18/1,504.89 = 619.26/x
  3. Step 3: Cross multiply
    1,005.18x = 1,504.89 × 619.26
  4. Step 4: Simplify right side
    1,005.18x = 931,918.18
  5. Step 5: Solve for x
    x = 931,918.18/1,005.18
  6. Step 6: Final answer
    x = 927.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.