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Finding the Fourth Proportional to 989.55, 1,366.02 and 591.36

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Solution

The fourth proportional to 989.55, 1,366.02 and 591.36 is: 816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.55 : 1,366.02 = 591.36 : x
  2. Step 2: Convert to fraction form
    989.55/1,366.02 = 591.36/x
  3. Step 3: Cross multiply
    989.55x = 1,366.02 × 591.36
  4. Step 4: Simplify right side
    989.55x = 807,809.59
  5. Step 5: Solve for x
    x = 807,809.59/989.55
  6. Step 6: Final answer
    x = 816.34

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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.