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Finding the Fourth Proportional to 1,274.70, 1,758.67 and 715.06

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Solution

The fourth proportional to 1,274.70, 1,758.67 and 715.06 is: 986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.70 : 1,758.67 = 715.06 : x
  2. Step 2: Convert to fraction form
    1,274.70/1,758.67 = 715.06/x
  3. Step 3: Cross multiply
    1,274.70x = 1,758.67 × 715.06
  4. Step 4: Simplify right side
    1,274.70x = 1,257,555.69
  5. Step 5: Solve for x
    x = 1,257,555.69/1,274.70
  6. Step 6: Final answer
    x = 986.55

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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.