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Finding the Fourth Proportional to 1,032.70, 1,548.69 and 485.14

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Solution

The fourth proportional to 1,032.70, 1,548.69 and 485.14 is: 727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.70 : 1,548.69 = 485.14 : x
  2. Step 2: Convert to fraction form
    1,032.70/1,548.69 = 485.14/x
  3. Step 3: Cross multiply
    1,032.70x = 1,548.69 × 485.14
  4. Step 4: Simplify right side
    1,032.70x = 751,331.47
  5. Step 5: Solve for x
    x = 751,331.47/1,032.70
  6. Step 6: Final answer
    x = 727.54

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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.