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Finding the Fourth Proportional to 677.83, 1,016.61 and 431.05

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Solution

The fourth proportional to 677.83, 1,016.61 and 431.05 is: 646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.83 : 1,016.61 = 431.05 : x
  2. Step 2: Convert to fraction form
    677.83/1,016.61 = 431.05/x
  3. Step 3: Cross multiply
    677.83x = 1,016.61 × 431.05
  4. Step 4: Simplify right side
    677.83x = 438,209.74
  5. Step 5: Solve for x
    x = 438,209.74/677.83
  6. Step 6: Final answer
    x = 646.49

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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.