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Finding the Fourth Proportional to 983.42, 1,357.01 and 563.76

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Solution

The fourth proportional to 983.42, 1,357.01 and 563.76 is: 777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.42 : 1,357.01 = 563.76 : x
  2. Step 2: Convert to fraction form
    983.42/1,357.01 = 563.76/x
  3. Step 3: Cross multiply
    983.42x = 1,357.01 × 563.76
  4. Step 4: Simplify right side
    983.42x = 765,021.17
  5. Step 5: Solve for x
    x = 765,021.17/983.42
  6. Step 6: Final answer
    x = 777.92

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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.