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Finding the Fourth Proportional to 1,147.92, 1,584.09 and 706.56

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Solution

The fourth proportional to 1,147.92, 1,584.09 and 706.56 is: 975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.92 : 1,584.09 = 706.56 : x
  2. Step 2: Convert to fraction form
    1,147.92/1,584.09 = 706.56/x
  3. Step 3: Cross multiply
    1,147.92x = 1,584.09 × 706.56
  4. Step 4: Simplify right side
    1,147.92x = 1,119,254.63
  5. Step 5: Solve for x
    x = 1,119,254.63/1,147.92
  6. Step 6: Final answer
    x = 975.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.