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Finding the Fourth Proportional to 983.23, 1,473.68 and 593.01

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Solution

The fourth proportional to 983.23, 1,473.68 and 593.01 is: 888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.23 : 1,473.68 = 593.01 : x
  2. Step 2: Convert to fraction form
    983.23/1,473.68 = 593.01/x
  3. Step 3: Cross multiply
    983.23x = 1,473.68 × 593.01
  4. Step 4: Simplify right side
    983.23x = 873,908.46
  5. Step 5: Solve for x
    x = 873,908.46/983.23
  6. Step 6: Final answer
    x = 888.82

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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.