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Finding the Fourth Proportional to 983.90, 1,475.36 and 573.14

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Solution

The fourth proportional to 983.90, 1,475.36 and 573.14 is: 859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.90 : 1,475.36 = 573.14 : x
  2. Step 2: Convert to fraction form
    983.90/1,475.36 = 573.14/x
  3. Step 3: Cross multiply
    983.90x = 1,475.36 × 573.14
  4. Step 4: Simplify right side
    983.90x = 845,577.59
  5. Step 5: Solve for x
    x = 845,577.59/983.90
  6. Step 6: Final answer
    x = 859.42

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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.