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Finding the Fourth Proportional to 677.60, 1,014.69 and 430.05

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Solution

The fourth proportional to 677.60, 1,014.69 and 430.05 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 1,014.69 = 430.05 : x
  2. Step 2: Convert to fraction form
    677.60/1,014.69 = 430.05/x
  3. Step 3: Cross multiply
    677.60x = 1,014.69 × 430.05
  4. Step 4: Simplify right side
    677.60x = 436,367.43
  5. Step 5: Solve for x
    x = 436,367.43/677.60
  6. Step 6: Final answer
    x = 643.99

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