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Finding the Fourth Proportional to 1,016.28, 1,398.33 and 1,009.53

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Solution

The fourth proportional to 1,016.28, 1,398.33 and 1,009.53 is: 1,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.28 : 1,398.33 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    1,016.28/1,398.33 = 1,009.53/x
  3. Step 3: Cross multiply
    1,016.28x = 1,398.33 × 1,009.53
  4. Step 4: Simplify right side
    1,016.28x = 1,411,656.08
  5. Step 5: Solve for x
    x = 1,411,656.08/1,016.28
  6. Step 6: Final answer
    x = 1,389.04

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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.