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Finding the Fourth Proportional to 1,706.23, 2,559.49 and 732.10

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Solution

The fourth proportional to 1,706.23, 2,559.49 and 732.10 is: 1,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.23 : 2,559.49 = 732.10 : x
  2. Step 2: Convert to fraction form
    1,706.23/2,559.49 = 732.10/x
  3. Step 3: Cross multiply
    1,706.23x = 2,559.49 × 732.10
  4. Step 4: Simplify right side
    1,706.23x = 1,873,802.63
  5. Step 5: Solve for x
    x = 1,873,802.63/1,706.23
  6. Step 6: Final answer
    x = 1,098.21

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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.