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Finding the Fourth Proportional to 1,357.34, 1,873.08 and 736.34

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Solution

The fourth proportional to 1,357.34, 1,873.08 and 736.34 is: 1,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.34 : 1,873.08 = 736.34 : x
  2. Step 2: Convert to fraction form
    1,357.34/1,873.08 = 736.34/x
  3. Step 3: Cross multiply
    1,357.34x = 1,873.08 × 736.34
  4. Step 4: Simplify right side
    1,357.34x = 1,379,214.36
  5. Step 5: Solve for x
    x = 1,379,214.36/1,357.34
  6. Step 6: Final answer
    x = 1,016.12

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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.