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Finding the Fourth Proportional to 982.52, 1,356 and 589.76

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Solution

The fourth proportional to 982.52, 1,356 and 589.76 is: 813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.52 : 1,356 = 589.76 : x
  2. Step 2: Convert to fraction form
    982.52/1,356 = 589.76/x
  3. Step 3: Cross multiply
    982.52x = 1,356 × 589.76
  4. Step 4: Simplify right side
    982.52x = 799,714.56
  5. Step 5: Solve for x
    x = 799,714.56/982.52
  6. Step 6: Final answer
    x = 813.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.