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Finding the Fourth Proportional to 707.44, 1,061.70 and 274.36

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Solution

The fourth proportional to 707.44, 1,061.70 and 274.36 is: 411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.44 : 1,061.70 = 274.36 : x
  2. Step 2: Convert to fraction form
    707.44/1,061.70 = 274.36/x
  3. Step 3: Cross multiply
    707.44x = 1,061.70 × 274.36
  4. Step 4: Simplify right side
    707.44x = 291,288.01
  5. Step 5: Solve for x
    x = 291,288.01/707.44
  6. Step 6: Final answer
    x = 411.75

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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.