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Finding the Fourth Proportional to 1,530.96, 2,293.38 and 708.14

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Solution

The fourth proportional to 1,530.96, 2,293.38 and 708.14 is: 1,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.96 : 2,293.38 = 708.14 : x
  2. Step 2: Convert to fraction form
    1,530.96/2,293.38 = 708.14/x
  3. Step 3: Cross multiply
    1,530.96x = 2,293.38 × 708.14
  4. Step 4: Simplify right side
    1,530.96x = 1,624,022.65
  5. Step 5: Solve for x
    x = 1,624,022.65/1,530.96
  6. Step 6: Final answer
    x = 1,060.79

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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.