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Finding the Fourth Proportional to 982.63, 1,473.47 and 571.89

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Solution

The fourth proportional to 982.63, 1,473.47 and 571.89 is: 857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.63 : 1,473.47 = 571.89 : x
  2. Step 2: Convert to fraction form
    982.63/1,473.47 = 571.89/x
  3. Step 3: Cross multiply
    982.63x = 1,473.47 × 571.89
  4. Step 4: Simplify right side
    982.63x = 842,670.79
  5. Step 5: Solve for x
    x = 842,670.79/982.63
  6. Step 6: Final answer
    x = 857.57

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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.