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Finding the Fourth Proportional to 1,160.06, 1,738.80 and 672.02

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Solution

The fourth proportional to 1,160.06, 1,738.80 and 672.02 is: 1,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.06 : 1,738.80 = 672.02 : x
  2. Step 2: Convert to fraction form
    1,160.06/1,738.80 = 672.02/x
  3. Step 3: Cross multiply
    1,160.06x = 1,738.80 × 672.02
  4. Step 4: Simplify right side
    1,160.06x = 1,168,508.38
  5. Step 5: Solve for x
    x = 1,168,508.38/1,160.06
  6. Step 6: Final answer
    x = 1,007.28

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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.