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Finding the Fourth Proportional to 1,178.09, 1,625.71 and 654.11

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Solution

The fourth proportional to 1,178.09, 1,625.71 and 654.11 is: 902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.09 : 1,625.71 = 654.11 : x
  2. Step 2: Convert to fraction form
    1,178.09/1,625.71 = 654.11/x
  3. Step 3: Cross multiply
    1,178.09x = 1,625.71 × 654.11
  4. Step 4: Simplify right side
    1,178.09x = 1,063,393.17
  5. Step 5: Solve for x
    x = 1,063,393.17/1,178.09
  6. Step 6: Final answer
    x = 902.64

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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.