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Finding the Fourth Proportional to 707.77, 1,061.19 and 361.27

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Solution

The fourth proportional to 707.77, 1,061.19 and 361.27 is: 541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.77 : 1,061.19 = 361.27 : x
  2. Step 2: Convert to fraction form
    707.77/1,061.19 = 361.27/x
  3. Step 3: Cross multiply
    707.77x = 1,061.19 × 361.27
  4. Step 4: Simplify right side
    707.77x = 383,370.81
  5. Step 5: Solve for x
    x = 383,370.81/707.77
  6. Step 6: Final answer
    x = 541.66

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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.