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Finding the Fourth Proportional to 1,178.14, 1,625.91 and 654.17

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Solution

The fourth proportional to 1,178.14, 1,625.91 and 654.17 is: 902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.14 : 1,625.91 = 654.17 : x
  2. Step 2: Convert to fraction form
    1,178.14/1,625.91 = 654.17/x
  3. Step 3: Cross multiply
    1,178.14x = 1,625.91 × 654.17
  4. Step 4: Simplify right side
    1,178.14x = 1,063,621.54
  5. Step 5: Solve for x
    x = 1,063,621.54/1,178.14
  6. Step 6: Final answer
    x = 902.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.