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Finding the Fourth Proportional to 1,143.02, 1,715.68 and 772.78

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Solution

The fourth proportional to 1,143.02, 1,715.68 and 772.78 is: 1,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.02 : 1,715.68 = 772.78 : x
  2. Step 2: Convert to fraction form
    1,143.02/1,715.68 = 772.78/x
  3. Step 3: Cross multiply
    1,143.02x = 1,715.68 × 772.78
  4. Step 4: Simplify right side
    1,143.02x = 1,325,843.19
  5. Step 5: Solve for x
    x = 1,325,843.19/1,143.02
  6. Step 6: Final answer
    x = 1,159.95

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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.