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Finding the Fourth Proportional to 1,301.20, 1,950.48 and 434.80

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Solution

The fourth proportional to 1,301.20, 1,950.48 and 434.80 is: 651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.20 : 1,950.48 = 434.80 : x
  2. Step 2: Convert to fraction form
    1,301.20/1,950.48 = 434.80/x
  3. Step 3: Cross multiply
    1,301.20x = 1,950.48 × 434.80
  4. Step 4: Simplify right side
    1,301.20x = 848,068.70
  5. Step 5: Solve for x
    x = 848,068.70/1,301.20
  6. Step 6: Final answer
    x = 651.76

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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.