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Finding the Fourth Proportional to 983.88, 1,476.18 and 436.14

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Solution

The fourth proportional to 983.88, 1,476.18 and 436.14 is: 654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.88 : 1,476.18 = 436.14 : x
  2. Step 2: Convert to fraction form
    983.88/1,476.18 = 436.14/x
  3. Step 3: Cross multiply
    983.88x = 1,476.18 × 436.14
  4. Step 4: Simplify right side
    983.88x = 643,821.15
  5. Step 5: Solve for x
    x = 643,821.15/983.88
  6. Step 6: Final answer
    x = 654.37

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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.