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Finding the Fourth Proportional to 677.23, 1,016.27 and 433.93

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Solution

The fourth proportional to 677.23, 1,016.27 and 433.93 is: 651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.23 : 1,016.27 = 433.93 : x
  2. Step 2: Convert to fraction form
    677.23/1,016.27 = 433.93/x
  3. Step 3: Cross multiply
    677.23x = 1,016.27 × 433.93
  4. Step 4: Simplify right side
    677.23x = 440,990.04
  5. Step 5: Solve for x
    x = 440,990.04/677.23
  6. Step 6: Final answer
    x = 651.17

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Why These Related Problems?

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