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Finding the Fourth Proportional to 1,178.12, 1,626 and 654.32

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Solution

The fourth proportional to 1,178.12, 1,626 and 654.32 is: 903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.12 : 1,626 = 654.32 : x
  2. Step 2: Convert to fraction form
    1,178.12/1,626 = 654.32/x
  3. Step 3: Cross multiply
    1,178.12x = 1,626 × 654.32
  4. Step 4: Simplify right side
    1,178.12x = 1,063,924.32
  5. Step 5: Solve for x
    x = 1,063,924.32/1,178.12
  6. Step 6: Final answer
    x = 903.07

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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.