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Finding the Fourth Proportional to 983.50, 1,474.64 and 435

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Solution

The fourth proportional to 983.50, 1,474.64 and 435 is: 652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.50 : 1,474.64 = 435 : x
  2. Step 2: Convert to fraction form
    983.50/1,474.64 = 435/x
  3. Step 3: Cross multiply
    983.50x = 1,474.64 × 435
  4. Step 4: Simplify right side
    983.50x = 641,468.40
  5. Step 5: Solve for x
    x = 641,468.40/983.50
  6. Step 6: Final answer
    x = 652.23

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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.