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Finding the Fourth Proportional to 1,039.79, 1,559.71 and 492.02

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Solution

The fourth proportional to 1,039.79, 1,559.71 and 492.02 is: 738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.79 : 1,559.71 = 492.02 : x
  2. Step 2: Convert to fraction form
    1,039.79/1,559.71 = 492.02/x
  3. Step 3: Cross multiply
    1,039.79x = 1,559.71 × 492.02
  4. Step 4: Simplify right side
    1,039.79x = 767,413.19
  5. Step 5: Solve for x
    x = 767,413.19/1,039.79
  6. Step 6: Final answer
    x = 738.05

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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.