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Finding the Fourth Proportional to 1,274.36, 1,758.69 and 715.01

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Solution

The fourth proportional to 1,274.36, 1,758.69 and 715.01 is: 986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.36 : 1,758.69 = 715.01 : x
  2. Step 2: Convert to fraction form
    1,274.36/1,758.69 = 715.01/x
  3. Step 3: Cross multiply
    1,274.36x = 1,758.69 × 715.01
  4. Step 4: Simplify right side
    1,274.36x = 1,257,485.33
  5. Step 5: Solve for x
    x = 1,257,485.33/1,274.36
  6. Step 6: Final answer
    x = 986.76

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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.