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Finding the Fourth Proportional to 983.81, 1,474.71 and 435.44

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Solution

The fourth proportional to 983.81, 1,474.71 and 435.44 is: 652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.81 : 1,474.71 = 435.44 : x
  2. Step 2: Convert to fraction form
    983.81/1,474.71 = 435.44/x
  3. Step 3: Cross multiply
    983.81x = 1,474.71 × 435.44
  4. Step 4: Simplify right side
    983.81x = 642,149.78
  5. Step 5: Solve for x
    x = 642,149.78/983.81
  6. Step 6: Final answer
    x = 652.72

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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.