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Finding the Fourth Proportional to 1,032.70, 1,548.78 and 484.60

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Solution

The fourth proportional to 1,032.70, 1,548.78 and 484.60 is: 726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.70 : 1,548.78 = 484.60 : x
  2. Step 2: Convert to fraction form
    1,032.70/1,548.78 = 484.60/x
  3. Step 3: Cross multiply
    1,032.70x = 1,548.78 × 484.60
  4. Step 4: Simplify right side
    1,032.70x = 750,538.79
  5. Step 5: Solve for x
    x = 750,538.79/1,032.70
  6. Step 6: Final answer
    x = 726.77

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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.