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Finding the Fourth Proportional to 983.13, 1,355.90 and 589.87

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Solution

The fourth proportional to 983.13, 1,355.90 and 589.87 is: 813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,355.90 = 589.87 : x
  2. Step 2: Convert to fraction form
    983.13/1,355.90 = 589.87/x
  3. Step 3: Cross multiply
    983.13x = 1,355.90 × 589.87
  4. Step 4: Simplify right side
    983.13x = 799,806.21
  5. Step 5: Solve for x
    x = 799,806.21/983.13
  6. Step 6: Final answer
    x = 813.53

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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.