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Finding the Fourth Proportional to 1,016.50, 1,403.09 and 648.50

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Solution

The fourth proportional to 1,016.50, 1,403.09 and 648.50 is: 895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.50 : 1,403.09 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,016.50/1,403.09 = 648.50/x
  3. Step 3: Cross multiply
    1,016.50x = 1,403.09 × 648.50
  4. Step 4: Simplify right side
    1,016.50x = 909,903.87
  5. Step 5: Solve for x
    x = 909,903.87/1,016.50
  6. Step 6: Final answer
    x = 895.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.