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Finding the Fourth Proportional to 1,016.86, 1,403.24 and 551.11

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Solution

The fourth proportional to 1,016.86, 1,403.24 and 551.11 is: 760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.86 : 1,403.24 = 551.11 : x
  2. Step 2: Convert to fraction form
    1,016.86/1,403.24 = 551.11/x
  3. Step 3: Cross multiply
    1,016.86x = 1,403.24 × 551.11
  4. Step 4: Simplify right side
    1,016.86x = 773,337.47
  5. Step 5: Solve for x
    x = 773,337.47/1,016.86
  6. Step 6: Final answer
    x = 760.52

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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.