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Finding the Fourth Proportional to 982.55, 1,473.53 and 520.25

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Solution

The fourth proportional to 982.55, 1,473.53 and 520.25 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.55 : 1,473.53 = 520.25 : x
  2. Step 2: Convert to fraction form
    982.55/1,473.53 = 520.25/x
  3. Step 3: Cross multiply
    982.55x = 1,473.53 × 520.25
  4. Step 4: Simplify right side
    982.55x = 766,594.01
  5. Step 5: Solve for x
    x = 766,594.01/982.55
  6. Step 6: Final answer
    x = 780.21

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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.