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Finding the Fourth Proportional to 1,032.56, 1,548.77 and 484.86

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Solution

The fourth proportional to 1,032.56, 1,548.77 and 484.86 is: 727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.56 : 1,548.77 = 484.86 : x
  2. Step 2: Convert to fraction form
    1,032.56/1,548.77 = 484.86/x
  3. Step 3: Cross multiply
    1,032.56x = 1,548.77 × 484.86
  4. Step 4: Simplify right side
    1,032.56x = 750,934.20
  5. Step 5: Solve for x
    x = 750,934.20/1,032.56
  6. Step 6: Final answer
    x = 727.26

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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.