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Finding the Fourth Proportional to 1,483.04, 2,225.10 and 789.77

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Solution

The fourth proportional to 1,483.04, 2,225.10 and 789.77 is: 1,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.04 : 2,225.10 = 789.77 : x
  2. Step 2: Convert to fraction form
    1,483.04/2,225.10 = 789.77/x
  3. Step 3: Cross multiply
    1,483.04x = 2,225.10 × 789.77
  4. Step 4: Simplify right side
    1,483.04x = 1,757,317.23
  5. Step 5: Solve for x
    x = 1,757,317.23/1,483.04
  6. Step 6: Final answer
    x = 1,184.94

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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.