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Finding the Fourth Proportional to 1,323.09, 1,984.05 and 706.68

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Solution

The fourth proportional to 1,323.09, 1,984.05 and 706.68 is: 1,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.09 : 1,984.05 = 706.68 : x
  2. Step 2: Convert to fraction form
    1,323.09/1,984.05 = 706.68/x
  3. Step 3: Cross multiply
    1,323.09x = 1,984.05 × 706.68
  4. Step 4: Simplify right side
    1,323.09x = 1,402,088.45
  5. Step 5: Solve for x
    x = 1,402,088.45/1,323.09
  6. Step 6: Final answer
    x = 1,059.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.