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Finding the Fourth Proportional to 706.41, 1,053.65 and 684.81

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Solution

The fourth proportional to 706.41, 1,053.65 and 684.81 is: 1,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.41 : 1,053.65 = 684.81 : x
  2. Step 2: Convert to fraction form
    706.41/1,053.65 = 684.81/x
  3. Step 3: Cross multiply
    706.41x = 1,053.65 × 684.81
  4. Step 4: Simplify right side
    706.41x = 721,551.77
  5. Step 5: Solve for x
    x = 721,551.77/706.41
  6. Step 6: Final answer
    x = 1,021.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.