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Finding the Fourth Proportional to 1,019.41, 1,528.73 and 434.69

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Solution

The fourth proportional to 1,019.41, 1,528.73 and 434.69 is: 651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.41 : 1,528.73 = 434.69 : x
  2. Step 2: Convert to fraction form
    1,019.41/1,528.73 = 434.69/x
  3. Step 3: Cross multiply
    1,019.41x = 1,528.73 × 434.69
  4. Step 4: Simplify right side
    1,019.41x = 664,526.71
  5. Step 5: Solve for x
    x = 664,526.71/1,019.41
  6. Step 6: Final answer
    x = 651.87

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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.