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Finding the Fourth Proportional to 1,178.07, 1,626.80 and 736.08

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Solution

The fourth proportional to 1,178.07, 1,626.80 and 736.08 is: 1,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.07 : 1,626.80 = 736.08 : x
  2. Step 2: Convert to fraction form
    1,178.07/1,626.80 = 736.08/x
  3. Step 3: Cross multiply
    1,178.07x = 1,626.80 × 736.08
  4. Step 4: Simplify right side
    1,178.07x = 1,197,451.26
  5. Step 5: Solve for x
    x = 1,197,451.26/1,178.07
  6. Step 6: Final answer
    x = 1,016.45

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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.