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Finding the Fourth Proportional to 983.54, 1,473.25 and 612.81

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Solution

The fourth proportional to 983.54, 1,473.25 and 612.81 is: 917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.54 : 1,473.25 = 612.81 : x
  2. Step 2: Convert to fraction form
    983.54/1,473.25 = 612.81/x
  3. Step 3: Cross multiply
    983.54x = 1,473.25 × 612.81
  4. Step 4: Simplify right side
    983.54x = 902,820.80
  5. Step 5: Solve for x
    x = 902,820.80/983.54
  6. Step 6: Final answer
    x = 917.93

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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.