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Finding the Fourth Proportional to 1,039.59, 1,559.59 and 491.83

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Solution

The fourth proportional to 1,039.59, 1,559.59 and 491.83 is: 737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.59 : 1,559.59 = 491.83 : x
  2. Step 2: Convert to fraction form
    1,039.59/1,559.59 = 491.83/x
  3. Step 3: Cross multiply
    1,039.59x = 1,559.59 × 491.83
  4. Step 4: Simplify right side
    1,039.59x = 767,048.02
  5. Step 5: Solve for x
    x = 767,048.02/1,039.59
  6. Step 6: Final answer
    x = 737.84

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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.