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Finding the Fourth Proportional to 1,274.57, 1,758.49 and 777.09

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Solution

The fourth proportional to 1,274.57, 1,758.49 and 777.09 is: 1,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.57 : 1,758.49 = 777.09 : x
  2. Step 2: Convert to fraction form
    1,274.57/1,758.49 = 777.09/x
  3. Step 3: Cross multiply
    1,274.57x = 1,758.49 × 777.09
  4. Step 4: Simplify right side
    1,274.57x = 1,366,501.11
  5. Step 5: Solve for x
    x = 1,366,501.11/1,274.57
  6. Step 6: Final answer
    x = 1,072.13

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Why These Related Problems?

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