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Finding the Fourth Proportional to 983.25, 1,356.08 and 589.59

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Solution

The fourth proportional to 983.25, 1,356.08 and 589.59 is: 813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.25 : 1,356.08 = 589.59 : x
  2. Step 2: Convert to fraction form
    983.25/1,356.08 = 589.59/x
  3. Step 3: Cross multiply
    983.25x = 1,356.08 × 589.59
  4. Step 4: Simplify right side
    983.25x = 799,528.26
  5. Step 5: Solve for x
    x = 799,528.26/983.25
  6. Step 6: Final answer
    x = 813.15

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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.