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Finding the Fourth Proportional to 1,079.70, 1,620.76 and 430.88

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Solution

The fourth proportional to 1,079.70, 1,620.76 and 430.88 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.70 : 1,620.76 = 430.88 : x
  2. Step 2: Convert to fraction form
    1,079.70/1,620.76 = 430.88/x
  3. Step 3: Cross multiply
    1,079.70x = 1,620.76 × 430.88
  4. Step 4: Simplify right side
    1,079.70x = 698,353.07
  5. Step 5: Solve for x
    x = 698,353.07/1,079.70
  6. Step 6: Final answer
    x = 646.80

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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.