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Finding the Fourth Proportional to 1,656.33, 2,485.03 and 732.12

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Solution

The fourth proportional to 1,656.33, 2,485.03 and 732.12 is: 1,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.33 : 2,485.03 = 732.12 : x
  2. Step 2: Convert to fraction form
    1,656.33/2,485.03 = 732.12/x
  3. Step 3: Cross multiply
    1,656.33x = 2,485.03 × 732.12
  4. Step 4: Simplify right side
    1,656.33x = 1,819,340.16
  5. Step 5: Solve for x
    x = 1,819,340.16/1,656.33
  6. Step 6: Final answer
    x = 1,098.42

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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.