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Finding the Fourth Proportional to 677.48, 1,016.19 and 287.23

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Solution

The fourth proportional to 677.48, 1,016.19 and 287.23 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.48 : 1,016.19 = 287.23 : x
  2. Step 2: Convert to fraction form
    677.48/1,016.19 = 287.23/x
  3. Step 3: Cross multiply
    677.48x = 1,016.19 × 287.23
  4. Step 4: Simplify right side
    677.48x = 291,877.30
  5. Step 5: Solve for x
    x = 291,877.30/677.48
  6. Step 6: Final answer
    x = 430.83

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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.