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Finding the Fourth Proportional to 1,706.40, 2,558.96 and 732

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Solution

The fourth proportional to 1,706.40, 2,558.96 and 732 is: 1,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.40 : 2,558.96 = 732 : x
  2. Step 2: Convert to fraction form
    1,706.40/2,558.96 = 732/x
  3. Step 3: Cross multiply
    1,706.40x = 2,558.96 × 732
  4. Step 4: Simplify right side
    1,706.40x = 1,873,158.72
  5. Step 5: Solve for x
    x = 1,873,158.72/1,706.40
  6. Step 6: Final answer
    x = 1,097.73

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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.