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Finding the Fourth Proportional to 1,143.50, 1,578.03 and 619.53

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Solution

The fourth proportional to 1,143.50, 1,578.03 and 619.53 is: 854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.50 : 1,578.03 = 619.53 : x
  2. Step 2: Convert to fraction form
    1,143.50/1,578.03 = 619.53/x
  3. Step 3: Cross multiply
    1,143.50x = 1,578.03 × 619.53
  4. Step 4: Simplify right side
    1,143.50x = 977,641.05
  5. Step 5: Solve for x
    x = 977,641.05/1,143.50
  6. Step 6: Final answer
    x = 854.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.