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Finding the Fourth Proportional to 981.98, 1,355.12 and 589.22

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Solution

The fourth proportional to 981.98, 1,355.12 and 589.22 is: 813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.98 : 1,355.12 = 589.22 : x
  2. Step 2: Convert to fraction form
    981.98/1,355.12 = 589.22/x
  3. Step 3: Cross multiply
    981.98x = 1,355.12 × 589.22
  4. Step 4: Simplify right side
    981.98x = 798,460.86
  5. Step 5: Solve for x
    x = 798,460.86/981.98
  6. Step 6: Final answer
    x = 813.12

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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.