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Finding the Fourth Proportional to 1,357.36, 2,035.62 and 491.56

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Solution

The fourth proportional to 1,357.36, 2,035.62 and 491.56 is: 737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.36 : 2,035.62 = 491.56 : x
  2. Step 2: Convert to fraction form
    1,357.36/2,035.62 = 491.56/x
  3. Step 3: Cross multiply
    1,357.36x = 2,035.62 × 491.56
  4. Step 4: Simplify right side
    1,357.36x = 1,000,629.37
  5. Step 5: Solve for x
    x = 1,000,629.37/1,357.36
  6. Step 6: Final answer
    x = 737.19

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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.