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Finding the Fourth Proportional to 983.56, 1,473.27 and 592.33

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Solution

The fourth proportional to 983.56, 1,473.27 and 592.33 is: 887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.56 : 1,473.27 = 592.33 : x
  2. Step 2: Convert to fraction form
    983.56/1,473.27 = 592.33/x
  3. Step 3: Cross multiply
    983.56x = 1,473.27 × 592.33
  4. Step 4: Simplify right side
    983.56x = 872,662.02
  5. Step 5: Solve for x
    x = 872,662.02/983.56
  6. Step 6: Final answer
    x = 887.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.