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Finding the Fourth Proportional to 1,532.09, 2,298.29 and 491.83

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Solution

The fourth proportional to 1,532.09, 2,298.29 and 491.83 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.09 : 2,298.29 = 491.83 : x
  2. Step 2: Convert to fraction form
    1,532.09/2,298.29 = 491.83/x
  3. Step 3: Cross multiply
    1,532.09x = 2,298.29 × 491.83
  4. Step 4: Simplify right side
    1,532.09x = 1,130,367.97
  5. Step 5: Solve for x
    x = 1,130,367.97/1,532.09
  6. Step 6: Final answer
    x = 737.79

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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.