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Finding the Fourth Proportional to 1,143.67, 1,715.51 and 277.99

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Solution

The fourth proportional to 1,143.67, 1,715.51 and 277.99 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.67 : 1,715.51 = 277.99 : x
  2. Step 2: Convert to fraction form
    1,143.67/1,715.51 = 277.99/x
  3. Step 3: Cross multiply
    1,143.67x = 1,715.51 × 277.99
  4. Step 4: Simplify right side
    1,143.67x = 476,886.05
  5. Step 5: Solve for x
    x = 476,886.05/1,143.67
  6. Step 6: Final answer
    x = 416.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.