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Finding the Fourth Proportional to 983.58, 1,473.21 and 469.50

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Solution

The fourth proportional to 983.58, 1,473.21 and 469.50 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.58 : 1,473.21 = 469.50 : x
  2. Step 2: Convert to fraction form
    983.58/1,473.21 = 469.50/x
  3. Step 3: Cross multiply
    983.58x = 1,473.21 × 469.50
  4. Step 4: Simplify right side
    983.58x = 691,672.10
  5. Step 5: Solve for x
    x = 691,672.10/983.58
  6. Step 6: Final answer
    x = 703.22

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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.