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Finding the Fourth Proportional to 983.62, 1,357.35 and 563.67

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Solution

The fourth proportional to 983.62, 1,357.35 and 563.67 is: 777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.62 : 1,357.35 = 563.67 : x
  2. Step 2: Convert to fraction form
    983.62/1,357.35 = 563.67/x
  3. Step 3: Cross multiply
    983.62x = 1,357.35 × 563.67
  4. Step 4: Simplify right side
    983.62x = 765,098.53
  5. Step 5: Solve for x
    x = 765,098.53/983.62
  6. Step 6: Final answer
    x = 777.84

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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.