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Finding the Fourth Proportional to 1,528.58, 2,293.15 and 706.31

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Solution

The fourth proportional to 1,528.58, 2,293.15 and 706.31 is: 1,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.58 : 2,293.15 = 706.31 : x
  2. Step 2: Convert to fraction form
    1,528.58/2,293.15 = 706.31/x
  3. Step 3: Cross multiply
    1,528.58x = 2,293.15 × 706.31
  4. Step 4: Simplify right side
    1,528.58x = 1,619,661.54
  5. Step 5: Solve for x
    x = 1,619,661.54/1,528.58
  6. Step 6: Final answer
    x = 1,059.59

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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.