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Finding the Fourth Proportional to 1,143.87, 1,715.79 and 278.18

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Solution

The fourth proportional to 1,143.87, 1,715.79 and 278.18 is: 417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.87 : 1,715.79 = 278.18 : x
  2. Step 2: Convert to fraction form
    1,143.87/1,715.79 = 278.18/x
  3. Step 3: Cross multiply
    1,143.87x = 1,715.79 × 278.18
  4. Step 4: Simplify right side
    1,143.87x = 477,298.46
  5. Step 5: Solve for x
    x = 477,298.46/1,143.87
  6. Step 6: Final answer
    x = 417.27

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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.