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Finding the Fourth Proportional to 1,357.13, 2,035.97 and 491.38

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Solution

The fourth proportional to 1,357.13, 2,035.97 and 491.38 is: 737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.13 : 2,035.97 = 491.38 : x
  2. Step 2: Convert to fraction form
    1,357.13/2,035.97 = 491.38/x
  3. Step 3: Cross multiply
    1,357.13x = 2,035.97 × 491.38
  4. Step 4: Simplify right side
    1,357.13x = 1,000,434.94
  5. Step 5: Solve for x
    x = 1,000,434.94/1,357.13
  6. Step 6: Final answer
    x = 737.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.