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Finding the Fourth Proportional to 1,149.04, 1,584.86 and 706.36

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Solution

The fourth proportional to 1,149.04, 1,584.86 and 706.36 is: 974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.04 : 1,584.86 = 706.36 : x
  2. Step 2: Convert to fraction form
    1,149.04/1,584.86 = 706.36/x
  3. Step 3: Cross multiply
    1,149.04x = 1,584.86 × 706.36
  4. Step 4: Simplify right side
    1,149.04x = 1,119,481.71
  5. Step 5: Solve for x
    x = 1,119,481.71/1,149.04
  6. Step 6: Final answer
    x = 974.28

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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.