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Finding the Fourth Proportional to 1,147.62, 1,584.54 and 706.11

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Solution

The fourth proportional to 1,147.62, 1,584.54 and 706.11 is: 974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.62 : 1,584.54 = 706.11 : x
  2. Step 2: Convert to fraction form
    1,147.62/1,584.54 = 706.11/x
  3. Step 3: Cross multiply
    1,147.62x = 1,584.54 × 706.11
  4. Step 4: Simplify right side
    1,147.62x = 1,118,859.54
  5. Step 5: Solve for x
    x = 1,118,859.54/1,147.62
  6. Step 6: Final answer
    x = 974.94

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Why These Related Problems?

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