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Finding the Fourth Proportional to 707.41, 1,061.10 and 274.57

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Solution

The fourth proportional to 707.41, 1,061.10 and 274.57 is: 411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.41 : 1,061.10 = 274.57 : x
  2. Step 2: Convert to fraction form
    707.41/1,061.10 = 274.57/x
  3. Step 3: Cross multiply
    707.41x = 1,061.10 × 274.57
  4. Step 4: Simplify right side
    707.41x = 291,346.23
  5. Step 5: Solve for x
    x = 291,346.23/707.41
  6. Step 6: Final answer
    x = 411.85

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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.