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Finding the Fourth Proportional to 677.60, 1,014.36 and 433.28

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Solution

The fourth proportional to 677.60, 1,014.36 and 433.28 is: 648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 1,014.36 = 433.28 : x
  2. Step 2: Convert to fraction form
    677.60/1,014.36 = 433.28/x
  3. Step 3: Cross multiply
    677.60x = 1,014.36 × 433.28
  4. Step 4: Simplify right side
    677.60x = 439,501.90
  5. Step 5: Solve for x
    x = 439,501.90/677.60
  6. Step 6: Final answer
    x = 648.62

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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.