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Finding the Fourth Proportional to 1,274.28, 1,758.69 and 707.24

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Solution

The fourth proportional to 1,274.28, 1,758.69 and 707.24 is: 976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.28 : 1,758.69 = 707.24 : x
  2. Step 2: Convert to fraction form
    1,274.28/1,758.69 = 707.24/x
  3. Step 3: Cross multiply
    1,274.28x = 1,758.69 × 707.24
  4. Step 4: Simplify right side
    1,274.28x = 1,243,812.38
  5. Step 5: Solve for x
    x = 1,243,812.38/1,274.28
  6. Step 6: Final answer
    x = 976.09

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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.